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80921088 = 2932171033
BaseRepresentation
bin1001101001011…
…00001000000000
312122021012212100
410310230020000
5131203433323
612010230400
72001550353
oct464541000
9178235770
1080921088
1141750236
1223125400
13139c3701
14aa6629a
157186943
hex4d2c200

80921088 has 120 divisors (see below), whose sum is σ = 247520988. Its totient is φ = 25362432.

The previous prime is 80921077. The next prime is 80921111. The reversal of 80921088 is 88012908.

It can be written as a sum of positive squares in 2 ways, for example, as 65804544 + 15116544 = 8112^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77820 + ... + 78852.

Almost surely, 280921088 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 80921088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123760494).

80921088 is an abundant number, since it is smaller than the sum of its proper divisors (166599900).

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

80921088 is a wasteful number, since it uses less digits than its factorization.

80921088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 80921088 is about 8995.6149317320. The cubic root of 80921088 is about 432.5343182810.

It can be divided in two parts, 8092 and 1088, that added together give a triangular number (9180 = T135).

The spelling of 80921088 in words is "eighty million, nine hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1033 1088 1152 1224 1536 1632 2066 2176 2304 2448 3099 3264 4132 4352 4608 4896 6198 6528 8264 8704 9297 9792 12396 13056 16528 17561 18594 19584 24792 26112 33056 35122 37188 39168 49584 52683 66112 70244 74376 78336 99168 105366 132224 140488 148752 158049 198336 210732 264448 280976 297504 316098 396672 421464 528896 561952 595008 632196 793344 842928 1123904 1190016 1264392 1586688 1685856 2247808 2380032 2528784 3371712 4495616 4760064 5057568 6743424 8991232 10115136 13486848 20230272 26973696 40460544 80921088