Search a number
-
+
157478480 = 24517115793
BaseRepresentation
bin10010110001011…
…10111001010000
3101222022201212022
421120232321100
5310303302410
623343151012
73621354635
oct1130567120
9358281768
10157478480
118098aa05
12448a5468
1326819b43
1416cb418c
15dc5a455
hex962ee50

157478480 has 40 divisors (see below), whose sum is σ = 387678312. Its totient is φ = 59285504.

The previous prime is 157478467. The next prime is 157478483. The reversal of 157478480 is 84874751.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 155650576 = 1352^2 + 12476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1574784802 = 49598943326220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157478483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56537 + ... + 59256.

Almost surely, 2157478480 is an apocalyptic number.

157478480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157478480 is an abundant number, since it is smaller than the sum of its proper divisors (230199832).

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

157478480 is a wasteful number, since it uses less digits than its factorization.

157478480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115823 (or 115817 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 44.

The square root of 157478480 is about 12549.0429913998. The cubic root of 157478480 is about 540.0165518475.

The spelling of 157478480 in words is "one hundred fifty-seven million, four hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 115793 231586 463172 578965 926344 1157930 1852688 1968481 2315860 3936962 4631720 7873924 9263440 9842405 15747848 19684810 31495696 39369620 78739240 157478480