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907516064 = 2572132112
BaseRepresentation
bin110110000101111…
…001100010100000
32100020122121000002
4312011321202200
53324311003224
6230015115132
731326521300
oct6605714240
92306577002
10907516064
114262a6284
12213b12aa8
13116028770
1488755600
1554a139ae
hex361798a0

907516064 has 108 divisors (see below), whose sum is σ = 2248906842. Its totient is φ = 357315840.

The previous prime is 907516061. The next prime is 907516069. The reversal of 907516064 is 460615709.

It can be written as a sum of positive squares in only one way, i.e., 872611600 + 34904464 = 29540^2 + 5908^2 .

It is not an unprimeable number, because it can be changed into a prime (907516061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4300919 + ... + 4301129.

Almost surely, 2907516064 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 907516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124453421).

907516064 is an abundant number, since it is smaller than the sum of its proper divisors (1341390778).

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

907516064 is a wasteful number, since it uses less digits than its factorization.

907516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 907516064 is about 30125.0072863062. The cubic root of 907516064 is about 968.1695966760.

The spelling of 907516064 in words is "nine hundred seven million, five hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 211 224 364 392 416 422 637 728 784 844 1274 1456 1477 1568 1688 2548 2743 2912 2954 3376 5096 5486 5908 6752 10192 10339 10972 11816 19201 20384 20678 21944 23632 38402 41356 43888 44521 47264 76804 82712 87776 89042 134407 153608 165424 178084 268814 307216 311647 330848 356168 537628 578773 614432 623294 712336 1075256 1157546 1246588 1424672 2150512 2181529 2315092 2493176 4051411 4301024 4363058 4630184 4986352 8102822 8726116 9260368 9972704 16205644 17452232 18520736 28359877 32411288 34904464 56719754 64822576 69808928 113439508 129645152 226879016 453758032 907516064