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70157376 = 26323492
BaseRepresentation
bin1000010111010…
…00010001000000
311220000100211100
410023220101000
5120430014001
610543414400
71511220312
oct413502100
9156010740
1070157376
1136669303
121b5b4400
13116c5353
1494637b2
15625c586
hex42e8440

70157376 has 63 divisors (see below), whose sum is σ = 201671301. Its totient is φ = 23318784.

The previous prime is 70157363. The next prime is 70157377. The reversal of 70157376 is 67375107.

The square root of 70157376 is 8376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51494976 + 18662400 = 7176^2 + 4320^2 .

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 70157376.

It is not an unprimeable number, because it can be changed into a prime (70157377) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 200850 + ... + 201198.

Almost surely, 270157376 is an apocalyptic number.

70157376 is the 8376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70157376

70157376 is an abundant number, since it is smaller than the sum of its proper divisors (131513925).

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

70157376 is an equidigital number, since it uses as much as digits as its factorization.

70157376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The cubic root of 70157376 is about 412.4371518575.

Multiplying 70157376 by its sum of digits (36), we get a square (2525665536 = 502562).

70157376 divided by its sum of digits (36) gives a square (1948816 = 13962).

The spelling of 70157376 in words is "seventy million, one hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 349 576 698 1047 1396 2094 2792 3141 4188 5584 6282 8376 11168 12564 16752 22336 25128 33504 50256 67008 100512 121801 201024 243602 365403 487204 730806 974408 1096209 1461612 1948816 2192418 2923224 3897632 4384836 5846448 7795264 8769672 11692896 17539344 23385792 35078688 70157376