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90891696 = 24371571723
BaseRepresentation
bin1010110101011…
…10010110110000
320100000202222010
411122232112300
5141232013241
613004042520
72152365240
oct532562660
9210022863
1090891696
1147340305
1226533440
1315aa4a8c
14c0ddb20
157ea5d16
hex56ae5b0

90891696 has 80 divisors (see below), whose sum is σ = 270212864. Its totient is φ = 25788672.

The previous prime is 90891641. The next prime is 90891701. The reversal of 90891696 is 69619809.

It is a super-2 number, since 2×908916962 = 16522600803512832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 51891 + ... + 53613.

Almost surely, 290891696 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 90891696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135106432).

90891696 is an abundant number, since it is smaller than the sum of its proper divisors (179321168).

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

90891696 is a wasteful number, since it uses less digits than its factorization.

90891696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 90891696 is about 9533.7136520875. The cubic root of 90891696 is about 449.6156322794.

The spelling of 90891696 in words is "ninety million, eight hundred ninety-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 314 336 471 628 942 1099 1256 1723 1884 2198 2512 3297 3446 3768 4396 5169 6594 6892 7536 8792 10338 12061 13188 13784 17584 20676 24122 26376 27568 36183 41352 48244 52752 72366 82704 96488 144732 192976 270511 289464 541022 578928 811533 1082044 1623066 1893577 2164088 3246132 3787154 4328176 5680731 6492264 7574308 11361462 12984528 15148616 22722924 30297232 45445848 90891696