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470747136 = 2113174507
BaseRepresentation
bin11100000011110…
…000100000000000
31012210210102200010
4130003300200000
51431002402021
6114413424520
714444166426
oct3403604000
91183712603
10470747136
112217a7322
1211179b140
13766b2202
144673d116
152b4da976
hex1c0f0800

470747136 has 96 divisors (see below), whose sum is σ = 1329138720. Its totient is φ = 147652608.

The previous prime is 470747131. The next prime is 470747197. The reversal of 470747136 is 631747074.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 470747094 and 470747103.

It is not an unprimeable number, because it can be changed into a prime (470747131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102195 + ... + 106701.

It is an arithmetic number, because the mean of its divisors is an integer number (13845195).

Almost surely, 2470747136 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 470747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664569360).

470747136 is an abundant number, since it is smaller than the sum of its proper divisors (858391584).

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

470747136 is a wasteful number, since it uses less digits than its factorization.

470747136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 470747136 is about 21696.7079530513. The cubic root of 470747136 is about 777.9097751363.

The spelling of 470747136 in words is "four hundred seventy million, seven hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4352 4507 6144 6528 8704 9014 13056 13521 17408 18028 26112 27042 34816 36056 52224 54084 72112 76619 104448 108168 144224 153238 216336 229857 288448 306476 432672 459714 576896 612952 865344 919428 1153792 1225904 1730688 1838856 2307584 2451808 3461376 3677712 4615168 4903616 6922752 7355424 9230336 9807232 13845504 14710848 19614464 27691008 29421696 39228928 58843392 78457856 117686784 156915712 235373568 470747136