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45321792 = 2631371723
BaseRepresentation
bin1010110011100…
…0111001000000
310011021120210220
42230320321000
543100244132
64255223040
71060141335
oct254707100
9104246726
1045321792
1123645a2a
1213217a80
13950ac39
14603a98c
153ea3a2c
hex2b38e40

45321792 has 56 divisors (see below), whose sum is σ = 120859296. Its totient is φ = 14988288.

The previous prime is 45321791. The next prime is 45321797. The reversal of 45321792 is 29712354.

It is not an unprimeable number, because it can be changed into a prime (45321791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25443 + ... + 27165.

Almost surely, 245321792 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 45321792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60429648).

45321792 is an abundant number, since it is smaller than the sum of its proper divisors (75537504).

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

45321792 is a wasteful number, since it uses less digits than its factorization.

45321792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1865 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 45321792 is about 6732.1461659711. The cubic root of 45321792 is about 356.5351543944.

The spelling of 45321792 in words is "forty-five million, three hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 1723 2192 3288 3446 4384 5169 6576 6892 8768 10338 13152 13784 20676 26304 27568 41352 55136 82704 110272 165408 236051 330816 472102 708153 944204 1416306 1888408 2832612 3776816 5665224 7553632 11330448 15107264 22660896 45321792