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89914536 = 23341967109
BaseRepresentation
bin1010101101111…
…11110010101000
320021012010120000
411112333302220
5141004231121
612531103000
72141155335
oct526776250
9207163500
1089914536
1146833138
1226141a60
131582208a
14bd2798c
157d61526
hex55bfca8

89914536 has 160 divisors (see below), whose sum is σ = 271524000. Its totient is φ = 27713664.

The previous prime is 89914519. The next prime is 89914537. The reversal of 89914536 is 63541998.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 89914491 and 89914500.

It is not an unprimeable number, because it can be changed into a prime (89914537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 824850 + ... + 824958.

It is an arithmetic number, because the mean of its divisors is an integer number (1697025).

Almost surely, 289914536 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 89914536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135762000).

89914536 is an abundant number, since it is smaller than the sum of its proper divisors (181609464).

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

89914536 is a wasteful number, since it uses less digits than its factorization.

89914536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

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

The square root of 89914536 is about 9482.3275623657. The cubic root of 89914536 is about 447.9985783331.

The spelling of 89914536 in words is "eighty-nine million, nine hundred fourteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 67 72 76 81 108 109 114 134 152 162 171 201 216 218 228 268 324 327 342 402 436 456 513 536 603 648 654 684 804 872 981 1026 1206 1273 1308 1368 1539 1608 1809 1962 2052 2071 2412 2546 2616 2943 3078 3618 3819 3924 4104 4142 4824 5092 5427 5886 6156 6213 7236 7303 7638 7848 8284 8829 10184 10854 11457 11772 12312 12426 14472 14606 15276 16568 17658 18639 21708 21909 22914 23544 24852 29212 30552 34371 35316 37278 43416 43818 45828 49704 55917 58424 65727 68742 70632 74556 87636 91656 103113 111834 131454 137484 138757 149112 167751 175272 197181 206226 223668 262908 274968 277514 335502 394362 412452 416271 447336 525816 555028 591543 671004 788724 824904 832542 1110056 1183086 1248813 1342008 1577448 1665084 2366172 2497626 3330168 3746439 4732344 4995252 7492878 9990504 11239317 14985756 22478634 29971512 44957268 89914536