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70256256 = 273759443
BaseRepresentation
bin1000011000000…
…00011010000000
311220012101110120
410030000122000
5120441200011
610545500240
71512111510
oct414003200
9156171416
1070256256
1136726624
121b641680
131172b365
14948b840
15627ba06
hex4300680

70256256 has 128 divisors (see below), whose sum is σ = 217382400. Its totient is φ = 19688448.

The previous prime is 70256239. The next prime is 70256279. The reversal of 70256256 is 65265207.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158371 + ... + 158813.

It is an arithmetic number, because the mean of its divisors is an integer number (1698300).

Almost surely, 270256256 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 70256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108691200).

70256256 is an abundant number, since it is smaller than the sum of its proper divisors (147126144).

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

70256256 is a wasteful number, since it uses less digits than its factorization.

70256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 70256256 is about 8381.9005004832. The cubic root of 70256256 is about 412.6308242531.

The spelling of 70256256 in words is "seventy million, two hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 128 168 177 192 224 236 336 354 384 413 443 448 472 672 708 826 886 896 944 1239 1329 1344 1416 1652 1772 1888 2478 2658 2688 2832 3101 3304 3544 3776 4956 5316 5664 6202 6608 7088 7552 9303 9912 10632 11328 12404 13216 14176 18606 19824 21264 22656 24808 26137 26432 28352 37212 39648 42528 49616 52274 52864 56704 74424 78411 79296 85056 99232 104548 148848 156822 158592 170112 182959 198464 209096 297696 313644 365918 396928 418192 548877 595392 627288 731836 836384 1097754 1190784 1254576 1463672 1672768 2195508 2509152 2927344 3345536 4391016 5018304 5854688 8782032 10036608 11709376 17564064 23418752 35128128 70256256