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89793132 = 223112136771
BaseRepresentation
bin1010101101000…
…10001001101100
320020221222000120
411112202021230
5140441340012
612524324540
72140141362
oct526421154
9206858016
1089793132
114675aa00
12260a3750
13157aba40
14bcd5632
157d3a58c
hex55a226c

89793132 has 144 divisors (see below), whose sum is σ = 255257856. Its totient is φ = 24393600.

The previous prime is 89793113. The next prime is 89793149. The reversal of 89793132 is 23139798.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264657 + ... + 1264727.

It is an arithmetic number, because the mean of its divisors is an integer number (1772624).

Almost surely, 289793132 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 89793132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127628928).

89793132 is an abundant number, since it is smaller than the sum of its proper divisors (165464724).

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

89793132 is a wasteful number, since it uses less digits than its factorization.

89793132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 89793132 is about 9475.9238072074. The cubic root of 89793132 is about 447.7968559751.

The spelling of 89793132 in words is "eighty-nine million, seven hundred ninety-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 67 71 78 121 132 134 142 143 156 201 213 242 268 284 286 363 402 426 429 484 572 726 737 781 804 852 858 871 923 1452 1474 1562 1573 1716 1742 1846 2211 2343 2613 2769 2948 3124 3146 3484 3692 4422 4686 4719 4757 5226 5538 6292 8107 8591 8844 9372 9438 9514 9581 10153 10452 11076 14271 16214 17182 18876 19028 19162 20306 24321 25773 28542 28743 30459 32428 34364 38324 40612 48642 51546 52327 57084 57486 60918 61841 97284 103092 104654 105391 111683 114972 121836 123682 156981 185523 209308 210782 223366 247364 313962 316173 335049 371046 421564 446732 575597 627924 632346 670098 680251 742092 1151194 1264692 1340196 1360502 1726791 2040753 2302388 2721004 3453582 4081506 6907164 7482761 8163012 14965522 22448283 29931044 44896566 89793132