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70756992 = 2732173613
BaseRepresentation
bin1000011011110…
…10101010000000
311221010211100100
410031322222000
5121103210432
611004322400
71516265415
oct415725200
9157124310
1070756992
1136a38859
121b843400
1311875257
14957c10c
15632a07c
hex437aa80

70756992 has 96 divisors (see below), whose sum is σ = 215647380. Its totient is φ = 22192128.

The previous prime is 70756991. The next prime is 70756997. The reversal of 70756992 is 29965707.

It can be written as a sum of positive squares in 2 ways, for example, as 66977856 + 3779136 = 8184^2 + 1944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (70756991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17778 + ... + 21390.

Almost surely, 270756992 is an apocalyptic number.

70756992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70756992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107823690).

70756992 is an abundant number, since it is smaller than the sum of its proper divisors (144890388).

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

70756992 is a wasteful number, since it uses less digits than its factorization.

70756992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 70756992 is about 8411.7175416201. The cubic root of 70756992 is about 413.6088162367.

The spelling of 70756992 in words is "seventy million, seven hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 3613 4896 6528 7226 9792 10839 14452 19584 21678 28904 32517 43356 57808 61421 65034 86712 115616 122842 130068 173424 184263 231232 245684 260136 346848 368526 462464 491368 520272 552789 693696 737052 982736 1040544 1105578 1387392 1474104 1965472 2081088 2211156 2948208 3930944 4162176 4422312 5896416 7861888 8844624 11792832 17689248 23585664 35378496 70756992