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54961816 = 23713174441
BaseRepresentation
bin1101000110101…
…0011010011000
310211102100102211
43101222122120
5103032234231
65242004504
71235111350
oct321523230
9124370384
1054961816
112902a698
12164a6734
13b5049b0
147429b60
154c59eb1
hex346a698

54961816 has 64 divisors (see below), whose sum is σ = 134326080. Its totient is φ = 20459520.

The previous prime is 54961787. The next prime is 54961817. The reversal of 54961816 is 61816945.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54961817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10156 + ... + 14596.

It is an arithmetic number, because the mean of its divisors is an integer number (2098845).

Almost surely, 254961816 is an apocalyptic number.

54961816 is a gapful number since it is divisible by the number (56) 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 54961816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67163040).

54961816 is an abundant number, since it is smaller than the sum of its proper divisors (79364264).

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

54961816 is a wasteful number, since it uses less digits than its factorization.

54961816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4480 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 54961816 is about 7413.6236753696. The cubic root of 54961816 is about 380.2072184674.

The spelling of 54961816 in words is "fifty-four million, nine hundred sixty-one thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 3094 4441 6188 8882 12376 17764 31087 35528 57733 62174 75497 115466 124348 150994 230932 248696 301988 404131 461864 528479 603976 808262 981461 1056958 1616524 1962922 2113916 3233048 3925844 4227832 6870227 7851688 13740454 27480908 54961816