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45282816 = 293231317
BaseRepresentation
bin1010110010111…
…1011000000000
310011012121100100
42230233120000
543043022231
64254322400
71056616605
oct254573000
9104177310
1045282816
1123619717
12131b9400
1394c6287
14602a6ac
153e971e6
hex2b2f600

45282816 has 120 divisors (see below), whose sum is σ = 135330624. Its totient is φ = 14561280.

The previous prime is 45282803. The next prime is 45282841. The reversal of 45282816 is 61828254.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 142690 + ... + 143006.

Almost surely, 245282816 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 45282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67665312).

45282816 is an abundant number, since it is smaller than the sum of its proper divisors (90047808).

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

45282816 is a wasteful number, since it uses less digits than its factorization.

45282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 353 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 45282816 is about 6729.2507755321. The cubic root of 45282816 is about 356.4329202814.

The spelling of 45282816 in words is "forty-five million, two hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 317 372 384 496 512 558 576 634 744 768 951 992 1116 1152 1268 1488 1536 1902 1984 2232 2304 2536 2853 2976 3804 3968 4464 4608 5072 5706 5952 7608 7936 8928 9827 10144 11412 11904 15216 15872 17856 19654 20288 22824 23808 29481 30432 35712 39308 40576 45648 47616 58962 60864 71424 78616 81152 88443 91296 117924 121728 142848 157232 162304 176886 182592 235848 243456 314464 353772 365184 471696 486912 628928 707544 730368 943392 1257856 1415088 1460736 1886784 2515712 2830176 3773568 5031424 5660352 7547136 11320704 15094272 22641408 45282816