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54621630 = 23257277313
BaseRepresentation
bin1101000001011…
…1010110111110
310210210001210100
43100113112332
5102440343010
65230421530
71232163510
oct320272676
9123701710
1054621630
1128918048
12163618a6
13b415bbb
14737bbb0
154bde2c0
hex34175be

54621630 has 96 divisors (see below), whose sum is σ = 163410624. Its totient is φ = 12400128.

The previous prime is 54621613. The next prime is 54621631. The reversal of 54621630 is 3612645.

54621630 is a `hidden beast` number, since 5 + 4 + 6 + 21 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54621594 and 54621603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54621631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174354 + ... + 174666.

It is an arithmetic number, because the mean of its divisors is an integer number (1702194).

Almost surely, 254621630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54621630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81705312).

54621630 is an abundant number, since it is smaller than the sum of its proper divisors (108788994).

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

54621630 is a wasteful number, since it uses less digits than its factorization.

54621630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 54621630 is about 7390.6447621300. The cubic root of 54621630 is about 379.4211639789.

The spelling of 54621630 in words is "fifty-four million, six hundred twenty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 277 313 315 554 626 630 831 939 1385 1565 1662 1878 1939 2191 2493 2770 2817 3130 3878 4155 4382 4695 4986 5634 5817 6573 8310 9390 9695 10955 11634 12465 13146 14085 17451 19390 19719 21910 24930 28170 29085 32865 34902 39438 58170 65730 86701 87255 98595 173402 174510 197190 260103 433505 520206 606907 780309 867010 1213814 1300515 1560618 1820721 2601030 3034535 3641442 3901545 5462163 6069070 7803090 9103605 10924326 18207210 27310815 54621630