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470254464 = 2733136069
BaseRepresentation
bin11100000001111…
…000001110000000
31012202212101212000
4130001320032000
51430341120324
6114355104000
714440045161
oct3401701600
91182771760
10470254464
112214a0159
121115a2000
137656bba4
1446651768
152b43e9c9
hex1c078380

470254464 has 64 divisors (see below), whose sum is σ = 1387914000. Its totient is φ = 156750336.

The previous prime is 470254453. The next prime is 470254487. The reversal of 470254464 is 464452074.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4702544642 = 442278521823854592, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64579 + ... + 71490.

Almost surely, 2470254464 is an apocalyptic number.

It is an amenable number.

470254464 is an abundant number, since it is smaller than the sum of its proper divisors (917659536).

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

470254464 is a wasteful number, since it uses less digits than its factorization.

470254464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136092 (or 136074 counting only the distinct ones).

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

The square root of 470254464 is about 21685.3513690694. The cubic root of 470254464 is about 777.6383002016.

The spelling of 470254464 in words is "four hundred seventy million, two hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 136069 272138 408207 544276 816414 1088552 1224621 1632828 2177104 2449242 3265656 3673863 4354208 4898484 6531312 7347726 8708416 9796968 13062624 14695452 17416832 19593936 26125248 29390904 39187872 52250496 58781808 78375744 117563616 156751488 235127232 470254464