Search a number
-
+
80528256 = 2736863
BaseRepresentation
bin1001100110011…
…00001110000000
312121112021000000
410303030032000
5131103401011
611554000000
71665323154
oct463141600
9177467000
1080528256
1141502086
1222b76000
13138b6973
14a9a3064
15710a356
hex4ccc380

80528256 has 112 divisors (see below), whose sum is σ = 240809760. Its totient is φ = 26811648.

The previous prime is 80528237. The next prime is 80528263. The reversal of 80528256 is 65282508.

80528256 is a `hidden beast` number, since 80 + 528 + 2 + 56 = 666.

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 80528256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92881 + ... + 93743.

Almost surely, 280528256 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 80528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120404880).

80528256 is an abundant number, since it is smaller than the sum of its proper divisors (160281504).

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

80528256 is an frugal number, since it uses more digits than its factorization.

80528256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 80528256 is about 8973.7537296273. The cubic root of 80528256 is about 431.8332689915.

The spelling of 80528256 in words is "eighty million, five hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 863 864 972 1152 1296 1458 1726 1728 1944 2589 2592 2916 3452 3456 3888 5178 5184 5832 6904 7767 7776 10356 10368 11664 13808 15534 15552 20712 23301 23328 27616 31068 31104 41424 46602 46656 55232 62136 69903 82848 93204 93312 110464 124272 139806 165696 186408 209709 248544 279612 331392 372816 419418 497088 559224 629127 745632 838836 994176 1118448 1258254 1491264 1677672 2236896 2516508 2982528 3355344 4473792 5033016 6710688 8947584 10066032 13421376 20132064 26842752 40264128 80528256