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54955152 = 24337171069
BaseRepresentation
bin1101000110100…
…0110010010000
310211102000022000
43101220302100
5103032031102
65241514000
71235053050
oct321506220
9124360260
1054955152
112902568a
12164a2900
13b501955
147427560
154c5801c
hex3468c90

54955152 has 160 divisors (see below), whose sum is σ = 191059200. Its totient is φ = 14764032.

The previous prime is 54955141. The next prime is 54955171. The reversal of 54955152 is 25155945.

54955152 is a `hidden beast` number, since 54 + 9 + 551 + 52 = 666.

It is a super-3 number, since 3×549551523 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 50874 + ... + 51942.

It is an arithmetic number, because the mean of its divisors is an integer number (1194120).

Almost surely, 254955152 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 54955152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95529600).

54955152 is an abundant number, since it is smaller than the sum of its proper divisors (136104048).

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

54955152 is a wasteful number, since it uses less digits than its factorization.

54955152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1098 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 54955152 is about 7413.1742189159. The cubic root of 54955152 is about 380.1918514150.

The spelling of 54955152 in words is "fifty-four million, nine hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1069 1071 1224 1428 1512 1836 1904 2138 2142 2448 2856 3024 3207 3213 3672 4276 4284 5712 6414 6426 7344 7483 8552 8568 9621 12828 12852 14966 17104 17136 18173 19242 22449 25656 25704 28863 29932 36346 38484 44898 51312 51408 54519 57726 59864 67347 72692 76968 89796 109038 115452 119728 127211 134694 145384 153936 163557 179592 202041 218076 230904 254422 269388 290768 327114 359184 381633 404082 436152 461808 490671 508844 538776 654228 763266 808164 872304 981342 1017688 1077552 1144899 1308456 1526532 1616328 1962684 2035376 2289798 2616912 3053064 3232656 3434697 3925368 4579596 6106128 6869394 7850736 9159192 13738788 18318384 27477576 54955152