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80893296 = 24331129587
BaseRepresentation
bin1001101001001…
…01010101110000
312122012210202000
410310211111300
5131202041141
612005454000
72001403341
oct464452560
9178183660
1080893296
1141731370
1223111300
13139b3b73
14aa5a0c8
15717d5b6
hex4d25570

80893296 has 160 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 23627520.

The previous prime is 80893289. The next prime is 80893303. The reversal of 80893296 is 69239808.

It is an interprime number because it is at equal distance from previous prime (80893289) and next prime (80893303).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137515 + ... + 138101.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 280893296 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 80893296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

80893296 is an abundant number, since it is smaller than the sum of its proper divisors (181589904).

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

80893296 is a wasteful number, since it uses less digits than its factorization.

80893296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 80893296 is about 8994.0700464250. The cubic root of 80893296 is about 432.4847952600.

The spelling of 80893296 in words is "eighty million, eight hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 396 432 464 522 528 587 594 638 696 783 792 957 1044 1174 1188 1276 1392 1566 1584 1761 1914 2088 2348 2376 2552 2871 3132 3522 3828 4176 4696 4752 5104 5283 5742 6264 6457 7044 7656 8613 9392 10566 11484 12528 12914 14088 15312 15849 17023 17226 19371 21132 22968 25828 28176 31698 34046 34452 38742 42264 45936 51069 51656 58113 63396 68092 68904 77484 84528 102138 103312 116226 126792 136184 137808 153207 154968 174339 187253 204276 232452 253584 272368 306414 309936 348678 374506 408552 459621 464904 561759 612828 697356 749012 817104 919242 929808 1123518 1225656 1394712 1498024 1685277 1838484 2247036 2451312 2789424 2996048 3370554 3676968 4494072 5055831 6741108 7353936 8988144 10111662 13482216 20223324 26964432 40446648 80893296