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70826256 = 24321493301
BaseRepresentation
bin1000011100010…
…11100100010000
311221021100100200
410032023210100
5121112420011
611010015200
71520004354
oct416134420
9157240320
1070826256
1136a858a6
121b877500
131189a937
149599464
156340856
hex438b910

70826256 has 60 divisors (see below), whose sum is σ = 199605900. Its totient is φ = 23443200.

The previous prime is 70826221. The next prime is 70826257. The reversal of 70826256 is 65262807.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 59536656 = 3360^2 + 7716^2 .

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 70826256.

It is not an unprimeable number, because it can be changed into a prime (70826257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19806 + ... + 23106.

It is an arithmetic number, because the mean of its divisors is an integer number (3326765).

Almost surely, 270826256 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 70826256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99802950).

70826256 is an abundant number, since it is smaller than the sum of its proper divisors (128779644).

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

70826256 is a wasteful number, since it uses less digits than its factorization.

70826256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 70826256 is about 8415.8336485461. The cubic root of 70826256 is about 413.7437327419.

The spelling of 70826256 in words is "seventy million, eight hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3301 3576 5364 6602 7152 9903 10728 13204 19806 21456 26408 29709 39612 52816 59418 79224 118836 158448 237672 475344 491849 983698 1475547 1967396 2951094 3934792 4426641 5902188 7869584 8853282 11804376 17706564 23608752 35413128 70826256