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54795104 = 2571331607
BaseRepresentation
bin1101000100000…
…1101101100000
310211002212202022
43101001231200
5103011420404
65234241012
71233515330
oct321015540
9124085668
1054795104
1128a26411
1216426168
13b476b50
1473c50c0
154c258be
hex3441b60

54795104 has 96 divisors (see below), whose sum is σ = 137281536. Its totient is φ = 20943360.

The previous prime is 54795089. The next prime is 54795119. The reversal of 54795104 is 40159745.

It is an interprime number because it is at equal distance from previous prime (54795089) and next prime (54795119).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89969 + ... + 90575.

It is an arithmetic number, because the mean of its divisors is an integer number (1430016).

Almost surely, 254795104 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 54795104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640768).

54795104 is an abundant number, since it is smaller than the sum of its proper divisors (82486432).

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

54795104 is a wasteful number, since it uses less digits than its factorization.

54795104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 54795104 is about 7402.3715118873. The cubic root of 54795104 is about 379.8224100925.

The spelling of 54795104 in words is "fifty-four million, seven hundred ninety-five thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 182 208 217 224 248 364 403 416 434 496 607 728 806 868 992 1214 1456 1612 1736 2428 2821 2912 3224 3472 4249 4856 5642 6448 6944 7891 8498 9712 11284 12896 15782 16996 18817 19424 22568 31564 33992 37634 45136 55237 63128 67984 75268 90272 110474 126256 131719 135968 150536 220948 244621 252512 263438 301072 441896 489242 526876 602144 883792 978484 1053752 1712347 1767584 1956968 2107504 3424694 3913936 4215008 6849388 7827872 13698776 27397552 54795104