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55146520 = 235111331311
BaseRepresentation
bin1101001001011…
…1100000011000
310211202201210201
43102113200120
5103104142040
65245551544
71236511012
oct322274030
9124681721
1055146520
1129146440
12165755b4
13b56aaa0
1474771b2
154c94a9a
hex3497818

55146520 has 128 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 17856000.

The previous prime is 55146491. The next prime is 55146523. The reversal of 55146520 is 2564155.

It is a super-2 number, since 2×551465202 = 6082277336220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55146523) by changing a digit.

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, 177165 + ... + 177475.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 255146520 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 55146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

55146520 is an abundant number, since it is smaller than the sum of its proper divisors (95811560).

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

55146520 is a wasteful number, since it uses less digits than its factorization.

55146520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 55146520 is about 7426.0702932305. The cubic root of 55146520 is about 380.6326488182.

The spelling of 55146520 in words is "fifty-five million, one hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 31 40 44 52 55 62 65 88 104 110 124 130 143 155 220 248 260 286 310 311 341 403 440 520 572 620 622 682 715 806 1144 1240 1244 1364 1430 1555 1612 1705 2015 2488 2728 2860 3110 3224 3410 3421 4030 4043 4433 5720 6220 6820 6842 8060 8086 8866 9641 12440 13640 13684 16120 16172 17105 17732 19282 20215 22165 27368 32344 34210 35464 38564 40430 44330 44473 48205 68420 77128 80860 88660 88946 96410 106051 125333 136840 161720 177320 177892 192820 212102 222365 250666 355784 385640 424204 444730 501332 530255 626665 848408 889460 1002664 1060510 1253330 1378663 1778920 2121020 2506660 2757326 4242040 5013320 5514652 6893315 11029304 13786630 27573260 55146520