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45050928 = 24313234373
BaseRepresentation
bin1010101111011…
…0110000110000
310010202211020220
42223312300300
543013112203
64245333040
71054632546
oct253666060
9103684226
1045050928
112348047a
1213107180
139444870
145da9d96
153e4d653
hex2af6c30

45050928 has 160 divisors (see below), whose sum is σ = 135657984. Its totient is φ = 12773376.

The previous prime is 45050927. The next prime is 45050939. The reversal of 45050928 is 82905054.

45050928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450509282 = 4059172227322368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45050921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617100 + ... + 617172.

Almost surely, 245050928 is an apocalyptic number.

45050928 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 45050928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67828992).

45050928 is an abundant number, since it is smaller than the sum of its proper divisors (90607056).

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

45050928 is a wasteful number, since it uses less digits than its factorization.

45050928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 45050928 is about 6711.9988081048. The cubic root of 45050928 is about 355.8234616853.

The spelling of 45050928 in words is "forty-five million, fifty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 43 46 48 52 69 73 78 86 92 104 129 138 146 156 172 184 208 219 258 276 292 299 312 344 368 438 516 552 559 584 598 624 688 876 897 949 989 1032 1104 1118 1168 1196 1677 1679 1752 1794 1898 1978 2064 2236 2392 2847 2967 3139 3354 3358 3504 3588 3796 3956 4472 4784 5037 5694 5934 6278 6708 6716 7176 7592 7912 8944 9417 10074 11388 11868 12556 12857 13416 13432 14352 15184 15824 18834 20148 21827 22776 23736 25112 25714 26832 26864 37668 38571 40296 40807 43654 45552 47472 50224 51428 65481 72197 75336 77142 80592 81614 87308 102856 122421 130962 144394 150672 154284 163228 174616 205712 216591 244842 261924 288788 308568 326456 349232 433182 489684 523848 577576 617136 652912 866364 938561 979368 1047696 1155152 1732728 1877122 1958736 2815683 3465456 3754244 5631366 7508488 11262732 15016976 22525464 45050928