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45729464 = 23113116763
BaseRepresentation
bin1010111001110…
…0011010111000
310012001022000212
42232130122320
543201320324
64312050252
71063460024
oct256343270
9105038025
1045729464
11238a4250
1213393988
139621671
146105384
15403470e
hex2b9c6b8

45729464 has 32 divisors (see below), whose sum is σ = 96560640. Its totient is φ = 20114400.

The previous prime is 45729461. The next prime is 45729479. The reversal of 45729464 is 46492754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45729461) 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, 5654 + ... + 11109.

It is an arithmetic number, because the mean of its divisors is an integer number (3017520).

Almost surely, 245729464 is an apocalyptic number.

45729464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45729464 is an abundant number, since it is smaller than the sum of its proper divisors (50831176).

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

45729464 is a wasteful number, since it uses less digits than its factorization.

45729464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16811 (or 16807 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 45729464 is about 6762.3563940390. The cubic root of 45729464 is about 357.6009827692.

The spelling of 45729464 in words is "forty-five million, seven hundred twenty-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 16763 33526 67052 134104 184393 368786 519653 737572 1039306 1475144 2078612 4157224 5716183 11432366 22864732 45729464