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45679488 = 273472531
BaseRepresentation
bin1010111001000…
…0001110000000
310011221202110220
42232100032000
543143220423
64311023040
71063161231
oct256201600
9104852426
1045679488
112386a748
121336aa80
1396049aa
1460d1088
1540249e3
hex2b90380

45679488 has 64 divisors (see below), whose sum is σ = 123966720. Its totient is φ = 14896640.

The previous prime is 45679409. The next prime is 45679507. The reversal of 45679488 is 88497654.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45679488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16783 + ... + 19313.

It is an arithmetic number, because the mean of its divisors is an integer number (1936980).

Almost surely, 245679488 is an apocalyptic number.

45679488 is a gapful number since it is divisible by the number (48) 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 45679488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61983360).

45679488 is an abundant number, since it is smaller than the sum of its proper divisors (78287232).

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

45679488 is a wasteful number, since it uses less digits than its factorization.

45679488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2583 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 45679488 is about 6758.6602222630. The cubic root of 45679488 is about 357.4706657594.

The spelling of 45679488 in words is "forty-five million, six hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 2531 3008 4512 5062 6016 7593 9024 10124 15186 18048 20248 30372 40496 60744 80992 118957 121488 161984 237914 242976 323968 356871 475828 485952 713742 951656 971904 1427484 1903312 2854968 3806624 5709936 7613248 11419872 15226496 22839744 45679488