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89861640 = 233511193583
BaseRepresentation
bin1010101101100…
…10111000001000
320021002102222220
411112302320020
5141001033030
612530014040
72140545201
oct526627010
9207072886
1089861640
11467a7420
1226117320
1315803c8b
14bd125a8
157d50a10
hex55b2e08

89861640 has 128 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 20632320.

The previous prime is 89861617. The next prime is 89861669. The reversal of 89861640 is 4616898.

It is a super-2 number, since 2×898616402 = 16150228686979200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89861592 and 89861601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23289 + ... + 26871.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 289861640 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 89861640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

89861640 is an abundant number, since it is smaller than the sum of its proper divisors (219795960).

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

89861640 is a wasteful number, since it uses less digits than its factorization.

89861640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 89861640 is about 9479.5379634242. The cubic root of 89861640 is about 447.9107097772.

The spelling of 89861640 in words is "eighty-nine million, eight hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 3583 4180 5016 6270 7166 8360 10749 12540 14332 17915 21498 25080 28664 35830 39413 42996 53745 68077 71660 78826 85992 107490 118239 136154 143320 157652 197065 204231 214980 236478 272308 315304 340385 394130 408462 429960 472956 544616 591195 680770 748847 788260 816924 945912 1021155 1182390 1361540 1497694 1576520 1633848 2042310 2246541 2364780 2723080 2995388 3744235 4084620 4493082 4729560 5990776 7488470 8169240 8986164 11232705 14976940 17972328 22465410 29953880 44930820 89861640