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45790056 = 23331323709
BaseRepresentation
bin1010111010101…
…1001101101000
310012011101011000
42232223031220
543210240211
64313235000
71064131464
oct256531550
9105141130
1045790056
1123935824
1213402a60
139643110
14611d4a4
154047656
hex2bab368

45790056 has 128 divisors (see below), whose sum is σ = 143136000. Its totient is φ = 13457664.

The previous prime is 45790049. The next prime is 45790081. The reversal of 45790056 is 65009754.

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

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 45790056.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64230 + ... + 64938.

It is an arithmetic number, because the mean of its divisors is an integer number (1118250).

Almost surely, 245790056 is an apocalyptic number.

45790056 is a gapful number since it is divisible by the number (46) 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 45790056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71568000).

45790056 is an abundant number, since it is smaller than the sum of its proper divisors (97345944).

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

45790056 is a wasteful number, since it uses less digits than its factorization.

45790056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 45790056 is about 6766.8350061162. The cubic root of 45790056 is about 357.7588546960.

The spelling of 45790056 in words is "forty-five million, seven hundred ninety thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 92 104 108 117 138 156 184 207 216 234 276 299 312 351 414 468 552 598 621 702 709 828 897 936 1196 1242 1404 1418 1656 1794 2127 2392 2484 2691 2808 2836 3588 4254 4968 5382 5672 6381 7176 8073 8508 9217 10764 12762 16146 16307 17016 18434 19143 21528 25524 27651 32292 32614 36868 38286 48921 51048 55302 64584 65228 73736 76572 82953 97842 110604 130456 146763 153144 165906 195684 211991 221208 248859 293526 331812 391368 423982 440289 497718 587052 635973 663624 847964 880578 995436 1174104 1271946 1695928 1761156 1907919 1990872 2543892 3522312 3815838 5087784 5723757 7631676 11447514 15263352 22895028 45790056