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83104256 = 29292193
BaseRepresentation
bin1001111010000…
…01001000000000
312210101010121102
410331001020000
5132233314011
612125113532
72026242314
oct475011000
9183333542
1083104256
1142a01504
12239b88a8
13142a9321
14b073b44
15746873b
hex4f41200

83104256 has 60 divisors (see below), whose sum is σ = 172860402. Its totient is φ = 39911424.

The previous prime is 83104247. The next prime is 83104261. The reversal of 83104256 is 65240138.

It can be written as a sum of positive squares in 3 ways, for example, as 63744256 + 19360000 = 7984^2 + 4400^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430496 + ... + 430688.

Almost surely, 283104256 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 83104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86430201).

83104256 is an abundant number, since it is smaller than the sum of its proper divisors (89756146).

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

83104256 is an equidigital number, since it uses as much as digits as its factorization.

83104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 83104256 is about 9116.1535748363. The cubic root of 83104256 is about 436.3896301014.

The spelling of 83104256 in words is "eighty-three million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 193 232 256 386 464 512 772 841 928 1544 1682 1856 3088 3364 3712 5597 6176 6728 7424 11194 12352 13456 14848 22388 24704 26912 44776 49408 53824 89552 98816 107648 162313 179104 215296 324626 358208 430592 649252 716416 1298504 1432832 2597008 2865664 5194016 10388032 20776064 41552128 83104256