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55258632 = 233311131789
BaseRepresentation
bin1101001011001…
…0111000001000
310211222102121000
43102302320020
5103121234012
65252215000
71240455612
oct322627010
9124872530
1055258632
11292126a0
121660a460
13b5a9b20
1474a5db2
154cb7ddc
hex34b2e08

55258632 has 128 divisors (see below), whose sum is σ = 180432000. Its totient is φ = 15448320.

The previous prime is 55258607. The next prime is 55258657. The reversal of 55258632 is 23685255.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55258607) and next prime (55258657).

It is a super-2 number, since 2×552586322 = 6107032821022848, which contains 22 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 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, 29994 + ... + 31782.

It is an arithmetic number, because the mean of its divisors is an integer number (1409625).

Almost surely, 255258632 is an apocalyptic number.

55258632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55258632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90216000).

55258632 is an abundant number, since it is smaller than the sum of its proper divisors (125173368).

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

55258632 is a wasteful number, since it uses less digits than its factorization.

55258632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1818 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 55258632 is about 7433.6150021373. The cubic root of 55258632 is about 380.8904142641.

The spelling of 55258632 in words is "fifty-five million, two hundred fifty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 1789 2376 2574 2808 3432 3578 3861 5148 5367 7156 7722 10296 10734 14312 15444 16101 19679 21468 23257 30888 32202 39358 42936 46514 48303 59037 64404 69771 78716 93028 96606 118074 128808 139542 157432 177111 186056 193212 209313 236148 255827 279084 354222 386424 418626 472296 511654 531333 558168 627939 708444 767481 837252 1023308 1062666 1255878 1416888 1534962 1674504 2046616 2125332 2302443 2511756 3069924 4250664 4604886 5023512 6139848 6907329 9209772 13814658 18419544 27629316 55258632