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45479712 = 253895323
BaseRepresentation
bin1010110101111…
…1011100100000
310011120121102210
42231133130200
543120322322
64302442120
71061366625
oct255373440
9104517383
1045479712
1123743643
1213293340
139564a95
14607c34c
153ed570c
hex2b5f720

45479712 has 48 divisors (see below), whose sum is σ = 120748320. Its totient is φ = 14986752.

The previous prime is 45479699. The next prime is 45479713. The reversal of 45479712 is 21797454.

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 (45479713) 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, 5883 + ... + 11205.

It is an arithmetic number, because the mean of its divisors is an integer number (2515590).

Almost surely, 245479712 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 45479712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60374160).

45479712 is an abundant number, since it is smaller than the sum of its proper divisors (75268608).

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

45479712 is a wasteful number, since it uses less digits than its factorization.

45479712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5417 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 45479712 is about 6743.8647673274. The cubic root of 45479712 is about 356.9487800097.

The spelling of 45479712 in words is "forty-five million, four hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 5323 8544 10646 15969 21292 31938 42584 63876 85168 127752 170336 255504 473747 511008 947494 1421241 1894988 2842482 3789976 5684964 7579952 11369928 15159904 22739856 45479712