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470352096 = 2534792297
BaseRepresentation
bin11100000010010…
…000000011100000
31012210001100210000
4130002100003200
51430402231341
6114401140000
714440632624
oct3402200340
91183040700
10470352096
11221557545
1211162a600
13765a4466
1446679184
152b45d8b6
hex1c0900e0

470352096 has 120 divisors (see below), whose sum is σ = 1401412320. Its totient is φ = 154732032.

The previous prime is 470352089. The next prime is 470352097. The reversal of 470352096 is 690253074.

470352096 is a `hidden beast` number, since 47 + 0 + 3 + 520 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 470352096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470352097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203620 + ... + 205916.

It is an arithmetic number, because the mean of its divisors is an integer number (11678436).

Almost surely, 2470352096 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 470352096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700706160).

470352096 is an abundant number, since it is smaller than the sum of its proper divisors (931060224).

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

470352096 is a wasteful number, since it uses less digits than its factorization.

470352096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 470352096 is about 21687.6023571072. The cubic root of 470352096 is about 777.6921130021.

The spelling of 470352096 in words is "four hundred seventy million, three hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 288 316 324 432 474 632 648 711 864 948 1264 1296 1422 1896 2133 2297 2528 2592 2844 3792 4266 4594 5688 6399 6891 7584 8532 9188 11376 12798 13782 17064 18376 20673 22752 25596 27564 34128 36752 41346 51192 55128 62019 68256 73504 82692 102384 110256 124038 165384 181463 186057 204768 220512 248076 330768 362926 372114 496152 544389 661536 725852 744228 992304 1088778 1451704 1488456 1633167 1984608 2177556 2903408 2976912 3266334 4355112 4899501 5806816 5953824 6532668 8710224 9799002 13065336 14698503 17420448 19598004 26130672 29397006 39196008 52261344 58794012 78392016 117588024 156784032 235176048 470352096