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89506296 = 23341129433
BaseRepresentation
bin1010101010111…
…00000111111000
320020102101120000
411111130013320
5140403200141
612514233000
72134535205
oct525340770
9206371500
1089506296
1146584450
1225b85760
131570b309
14bc5ccac
157cd05b6
hex555c1f8

89506296 has 160 divisors (see below), whose sum is σ = 283575600. Its totient is φ = 26127360.

The previous prime is 89506273. The next prime is 89506357. The reversal of 89506296 is 69260598.

It is a super-2 number, since 2×895062962 = 16022754047279232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206496 + ... + 206928.

Almost surely, 289506296 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 89506296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141787800).

89506296 is an abundant number, since it is smaller than the sum of its proper divisors (194069304).

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

89506296 is a wasteful number, since it uses less digits than its factorization.

89506296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 89506296 is about 9460.7767123001. The cubic root of 89506296 is about 447.3195319037.

The spelling of 89506296 in words is "eighty-nine million, five hundred six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 81 87 88 99 108 116 132 162 174 198 216 232 261 264 297 319 324 348 396 433 522 594 638 648 696 783 792 866 891 957 1044 1188 1276 1299 1566 1732 1782 1914 2088 2349 2376 2552 2598 2871 3132 3464 3564 3828 3897 4698 4763 5196 5742 6264 7128 7656 7794 8613 9396 9526 10392 11484 11691 12557 14289 15588 17226 18792 19052 22968 23382 25114 25839 28578 31176 34452 35073 37671 38104 42867 46764 50228 51678 57156 68904 70146 75342 85734 93528 100456 103356 113013 114312 128601 138127 140292 150684 171468 206712 226026 257202 276254 280584 301368 339039 342936 385803 414381 452052 514404 552508 678078 771606 828762 904104 1017117 1028808 1105016 1243143 1356156 1543212 1657524 2034234 2486286 2712312 3086424 3315048 3729429 4068468 4972572 7458858 8136936 9945144 11188287 14917716 22376574 29835432 44753148 89506296