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54656420 = 22571359509
BaseRepresentation
bin1101000001111…
…1110110100100
310210211211111212
43100133312210
5102443001140
65231250552
71232400110
oct320376644
9123754455
1054656420
11289411a5
1216379a58
13b4289a0
14738a740
154be9765
hex341fda4

54656420 has 96 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 16971264.

The previous prime is 54656419. The next prime is 54656429. The reversal of 54656420 is 2465645.

It is not an unprimeable number, because it can be changed into a prime (54656429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107126 + ... + 107634.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 254656420 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 54656420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

54656420 is an abundant number, since it is smaller than the sum of its proper divisors (89285980).

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

54656420 is a wasteful number, since it uses less digits than its factorization.

54656420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 54656420 is about 7392.9980386850. The cubic root of 54656420 is about 379.5017014313.

The spelling of 54656420 in words is "fifty-four million, six hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 59 65 70 91 118 130 140 182 236 260 295 364 413 455 509 590 767 826 910 1018 1180 1534 1652 1820 2036 2065 2545 3068 3563 3835 4130 5090 5369 6617 7126 7670 8260 10180 10738 13234 14252 15340 17815 21476 26468 26845 30031 33085 35630 46319 53690 60062 66170 71260 92638 107380 120124 132340 150155 185276 210217 231595 300310 390403 420434 463190 600620 780806 840868 926380 1051085 1561612 1952015 2102170 2732821 3904030 4204340 5465642 7808060 10931284 13664105 27328210 54656420