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474254640 = 243251096043
BaseRepresentation
bin11100010001001…
…000110100110000
31020001101122001200
4130101020310300
51432402122030
6115020531200
714516045406
oct3421106460
91201348050
10474254640
11223782592
121129b0b00
137733c862
1446db3476
152b97ed60
hex1c448d30

474254640 has 120 divisors (see below), whose sum is σ = 1607583120. Its totient is φ = 125286912.

The previous prime is 474254639. The next prime is 474254657. The reversal of 474254640 is 46452474.

474254640 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 5 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 474254595 and 474254604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75459 + ... + 81501.

It is an arithmetic number, because the mean of its divisors is an integer number (13396526).

Almost surely, 2474254640 is an apocalyptic number.

474254640 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 474254640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803791560).

474254640 is an abundant number, since it is smaller than the sum of its proper divisors (1133328480).

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

474254640 is a wasteful number, since it uses less digits than its factorization.

474254640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 474254640 is about 21777.3882731608. The cubic root of 474254640 is about 779.8370468270.

The spelling of 474254640 in words is "four hundred seventy-four million, two hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 109 120 144 180 218 240 327 360 436 545 654 720 872 981 1090 1308 1635 1744 1962 2180 2616 3270 3924 4360 4905 5232 6043 6540 7848 8720 9810 12086 13080 15696 18129 19620 24172 26160 30215 36258 39240 48344 54387 60430 72516 78480 90645 96688 108774 120860 145032 181290 217548 241720 271935 290064 362580 435096 483440 543870 658687 725160 870192 1087740 1317374 1450320 1976061 2175480 2634748 3293435 3952122 4350960 5269496 5928183 6586870 7904244 9880305 10538992 11856366 13173740 15808488 19760610 23712732 26347480 29640915 31616976 39521220 47425464 52694960 59281830 79042440 94850928 118563660 158084880 237127320 474254640