Search a number
-
+
475158240 = 253253111061
BaseRepresentation
bin11100010100100…
…101011011100000
31020010002112120100
4130110211123200
51433120030430
6115052142400
714526530664
oct3424453340
91203075510
10475158240
1122423a467
12113167a00
1377597c2b
144716a8a4
152baac960
hex1c5256e0

475158240 has 144 divisors (see below), whose sum is σ = 1628224416. Its totient is φ = 126182400.

The previous prime is 475158209. The next prime is 475158263. The reversal of 475158240 is 42851574.

475158240 is a `hidden beast` number, since 4 + 75 + 1 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 475158195 and 475158204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447310 + ... + 448370.

It is an arithmetic number, because the mean of its divisors is an integer number (11307114).

Almost surely, 2475158240 is an apocalyptic number.

475158240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814112208).

475158240 is an abundant number, since it is smaller than the sum of its proper divisors (1153066176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

475158240 is a wasteful number, since it uses less digits than its factorization.

475158240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 475158240 is about 21798.1246899819. The cubic root of 475158240 is about 780.3320085612.

It can be divided in two parts, 47515 and 8240, that added together give a palindrome (55755).

The spelling of 475158240 in words is "four hundred seventy-five million, one hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 311 360 480 622 720 933 1061 1244 1440 1555 1866 2122 2488 2799 3110 3183 3732 4244 4665 4976 5305 5598 6220 6366 7464 8488 9330 9549 9952 10610 11196 12440 12732 13995 14928 15915 16976 18660 19098 21220 22392 24880 25464 27990 29856 31830 33952 37320 38196 42440 44784 47745 49760 50928 55980 63660 74640 76392 84880 89568 95490 101856 111960 127320 149280 152784 169760 190980 223920 254640 305568 329971 381960 447840 509280 659942 763920 989913 1319884 1527840 1649855 1979826 2639768 2969739 3299710 3959652 4949565 5279536 5939478 6599420 7919304 9899130 10559072 11878956 13198840 14848695 15838608 19798260 23757912 26397680 29697390 31677216 39596520 47515824 52795360 59394780 79193040 95031648 118789560 158386080 237579120 475158240