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89862048 = 253437937
BaseRepresentation
bin1010101101100…
…10111110100000
320021002110120000
411112302332200
5141001041143
612530020000
72140546323
oct526627640
9207073500
1089862048
11467a7761
1226117600
1315804213
14bd127ba
157d50bd3
hex55b2fa0

89862048 has 120 divisors (see below), whose sum is σ = 271714212. Its totient is φ = 29113344.

The previous prime is 89862013. The next prime is 89862053. The reversal of 89862048 is 84026898.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89643024 + 219024 = 9468^2 + 468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 89861994 and 89862012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95436 + ... + 96372.

Almost surely, 289862048 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 89862048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135857106).

89862048 is an abundant number, since it is smaller than the sum of its proper divisors (181852164).

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

89862048 is a wasteful number, since it uses less digits than its factorization.

89862048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 89862048 is about 9479.5594834359. The cubic root of 89862048 is about 447.9113876611.

The spelling of 89862048 in words is "eighty-nine million, eight hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 937 999 1184 1296 1332 1776 1874 1998 2592 2664 2811 2997 3552 3748 3996 5328 5622 5994 7496 7992 8433 10656 11244 11988 14992 15984 16866 22488 23976 25299 29984 31968 33732 34669 44976 47952 50598 67464 69338 75897 89952 95904 101196 104007 134928 138676 151794 202392 208014 269856 277352 303588 312021 404784 416028 554704 607176 624042 809568 832056 936063 1109408 1214352 1248084 1664112 1872126 2428704 2496168 2808189 3328224 3744252 4992336 5616378 7488504 9984672 11232756 14977008 22465512 29954016 44931024 89862048