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55898640 = 2433573697
BaseRepresentation
bin1101010100111…
…1001000010000
310220011221112000
43111033020100
5103302224030
65314034000
71246062540
oct325171020
9126157460
1055898640
112960a526
1216878900
13b772225
1475d1320
154d92860
hex354f210

55898640 has 160 divisors (see below), whose sum is σ = 220104960. Its totient is φ = 12773376.

The previous prime is 55898597. The next prime is 55898653. The reversal of 55898640 is 4689855.

55898640 is a `hidden beast` number, since 5 + 589 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13272 + ... + 16968.

It is an arithmetic number, because the mean of its divisors is an integer number (1375656).

Almost surely, 255898640 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 55898640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110052480).

55898640 is an abundant number, since it is smaller than the sum of its proper divisors (164206320).

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

55898640 is a wasteful number, since it uses less digits than its factorization.

55898640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55898640 is about 7476.5393063904. The cubic root of 55898640 is about 382.3552701192.

The spelling of 55898640 in words is "fifty-five million, eight hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3697 3780 5040 7394 7560 11091 14788 15120 18485 22182 25879 29576 33273 36970 44364 51758 55455 59152 66546 73940 77637 88728 99819 103516 110910 129395 133092 147880 155274 166365 177456 199638 207032 221820 232911 258790 266184 295760 310548 332730 388185 399276 414064 443640 465822 499095 517580 532368 621096 665460 698733 776370 798552 887280 931644 998190 1035160 1164555 1242192 1330920 1397466 1552740 1597104 1863288 1996380 2070320 2329110 2661840 2794932 3105480 3493665 3726576 3992760 4658220 5589864 6210960 6987330 7985520 9316440 11179728 13974660 18632880 27949320 55898640