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54719904 = 253599661
BaseRepresentation
bin1101000010111…
…1010110100000
310210222001121010
43100233112200
5103002014104
65232500520
71233053151
oct320572640
9123861533
1054719904
1128984968
12163aa740
13b44b855
1473a5928
154c0d489
hex342f5a0

54719904 has 48 divisors (see below), whose sum is σ = 146089440. Its totient is φ = 17928960.

The previous prime is 54719887. The next prime is 54719909. The reversal of 54719904 is 40991745.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (54719909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834 + ... + 10494.

It is an arithmetic number, because the mean of its divisors is an integer number (3043530).

Almost surely, 254719904 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 54719904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73044720).

54719904 is an abundant number, since it is smaller than the sum of its proper divisors (91369536).

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

54719904 is a wasteful number, since it uses less digits than its factorization.

54719904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9733 (or 9725 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 54719904 is about 7397.2903147031. The cubic root of 54719904 is about 379.6485763042.

The spelling of 54719904 in words is "fifty-four million, seven hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 9661 19322 28983 38644 57966 77288 115932 154576 231864 309152 463728 569999 927456 1139998 1709997 2279996 3419994 4559992 6839988 9119984 13679976 18239968 27359952 54719904