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89980632 = 2334783239
BaseRepresentation
bin1010101110011…
…11111011011000
320021022111020000
411113033323120
5141013340012
612532333000
72141552130
oct527177330
9207274200
1089980632
1146878865
1226174160
13158461a1
14bd43ac0
157d75ddc
hex55cfed8

89980632 has 160 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 25292736.

The previous prime is 89980621. The next prime is 89980651. The reversal of 89980632 is 23608998.

89980632 is a `hidden beast` number, since 8 + 9 + 9 + 8 + 0 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376369 + ... + 376607.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 289980632 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 89980632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

89980632 is an abundant number, since it is smaller than the sum of its proper divisors (202742568).

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

89980632 is a wasteful number, since it uses less digits than its factorization.

89980632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 89980632 is about 9485.8121423524. The cubic root of 89980632 is about 448.1083257394.

The spelling of 89980632 in words is "eighty-nine million, nine hundred eighty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 83 84 108 126 162 166 168 189 216 239 249 252 324 332 378 478 498 504 567 581 648 664 717 747 756 956 996 1134 1162 1434 1494 1512 1673 1743 1912 1992 2151 2241 2268 2324 2868 2988 3346 3486 4302 4482 4536 4648 5019 5229 5736 5976 6453 6692 6723 6972 8604 8964 10038 10458 12906 13384 13446 13944 15057 15687 17208 17928 19359 19837 20076 20916 25812 26892 30114 31374 38718 39674 40152 41832 45171 47061 51624 53784 59511 60228 62748 77436 79348 90342 94122 119022 120456 125496 135513 138859 154872 158696 178533 180684 188244 238044 271026 277718 357066 361368 376488 416577 476088 535599 542052 555436 714132 833154 1071198 1084104 1110872 1249731 1428264 1606797 1666308 2142396 2499462 3213594 3332616 3749193 4284792 4998924 6427188 7498386 9997848 11247579 12854376 14996772 22495158 29993544 44990316 89980632