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45916992 = 2632117247
BaseRepresentation
bin1010111100101…
…0001101000000
310012101211021100
42233022031000
543223320432
64320054400
71065200532
oct257121500
9105354240
1045916992
1123a12130
1213464400
139688b24
146153852
15407007c
hex2bca340

45916992 has 84 divisors (see below), whose sum is σ = 143597376. Its totient is φ = 13912320.

The previous prime is 45916961. The next prime is 45916999. The reversal of 45916992 is 29961954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45916999) 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 11 ways as a sum of consecutive naturals, for example, 2713 + ... + 9959.

Almost surely, 245916992 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 45916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71798688).

45916992 is an abundant number, since it is smaller than the sum of its proper divisors (97680384).

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

45916992 is a wasteful number, since it uses less digits than its factorization.

45916992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7263 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 45916992 is about 6776.2077890218. The cubic root of 45916992 is about 358.0891344070.

The spelling of 45916992 in words is "forty-five million, nine hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 7247 14494 21741 28988 43482 57976 65223 79717 86964 115952 130446 159434 173928 231904 239151 260892 318868 347856 463808 478302 521784 637736 695712 717453 956604 1043568 1275472 1391424 1434906 1913208 2087136 2550944 2869812 3826416 4174272 5101888 5739624 7652832 11479248 15305664 22958496 45916992