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507704472 = 2332111933739
BaseRepresentation
bin11110010000101…
…111010010011000
31022101100001121100
4132100233102120
52014433020342
6122213511400
715403262652
oct3620572230
91271301540
10507704472
11240649980
12122042560
1381251b62
144b5dd6d2
152e88ae4c
hex1e42f498

507704472 has 96 divisors (see below), whose sum is σ = 1579032000. Its totient is φ = 145748160.

The previous prime is 507704459. The next prime is 507704501. The reversal of 507704472 is 274407705.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1822 + ... + 31917.

It is an arithmetic number, because the mean of its divisors is an integer number (16448250).

Almost surely, 2507704472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507704472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789516000).

507704472 is an abundant number, since it is smaller than the sum of its proper divisors (1071327528).

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

507704472 is a wasteful number, since it uses less digits than its factorization.

507704472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33781 (or 33774 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 507704472 is about 22532.2984180487. The cubic root of 507704472 is about 797.7564598746.

The spelling of 507704472 in words is "five hundred seven million, seven hundred four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 15048 33739 67478 101217 134956 202434 269912 303651 371129 404868 607302 641041 742258 809736 1113387 1214604 1282082 1484516 1923123 2226774 2429208 2564164 2969032 3340161 3846246 4453548 5128328 5769369 6680322 7051451 7692492 8907096 11538738 13360644 14102902 15384984 21154353 23077476 26721288 28205804 42308706 46154952 56411608 63463059 84617412 126926118 169234824 253852236 507704472