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45896328 = 23331729431
BaseRepresentation
bin1010111100010…
…1001010001000
310012100202221000
42233011022020
543222140303
64315415000
71065053352
oct257051210
9105322830
1045896328
11239a8655
1213454460
13967c5ba
14614a0d2
154068da3
hex2bc5288

45896328 has 128 divisors (see below), whose sum is σ = 139968000. Its totient is φ = 13870080.

The previous prime is 45896327. The next prime is 45896329. The reversal of 45896328 is 82369854.

45896328 is a `hidden beast` number, since 4 + 5 + 8 + 9 + 632 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45896327) and next prime (45896329).

It is not an unprimeable number, because it can be changed into a prime (45896327) 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 31 ways as a sum of consecutive naturals, for example, 106273 + ... + 106703.

It is an arithmetic number, because the mean of its divisors is an integer number (1093500).

Almost surely, 245896328 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 45896328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984000).

45896328 is an abundant number, since it is smaller than the sum of its proper divisors (94071672).

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

45896328 is a wasteful number, since it uses less digits than its factorization.

45896328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 45896328 is about 6774.6828708066. The cubic root of 45896328 is about 358.0354094580.

The spelling of 45896328 in words is "forty-five million, eight hundred ninety-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 51 54 58 68 72 87 102 108 116 136 153 174 204 216 232 261 306 348 408 431 459 493 522 612 696 783 862 918 986 1044 1224 1293 1479 1566 1724 1836 1972 2088 2586 2958 3132 3448 3672 3879 3944 4437 5172 5916 6264 7327 7758 8874 10344 11637 11832 12499 13311 14654 15516 17748 21981 23274 24998 26622 29308 31032 35496 37497 43962 46548 49996 53244 58616 65943 74994 87924 93096 99992 106488 112491 131886 149988 175848 197829 212483 224982 263772 299976 337473 395658 424966 449964 527544 637449 674946 791316 849932 899928 1274898 1349892 1582632 1699864 1912347 2549796 2699784 3824694 5099592 5737041 7649388 11474082 15298776 22948164 45896328