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46494140625 = 32510232
BaseRepresentation
bin101011010011010001…
…000100100011010001
311110000020221001200100
4223103101010203101
51230210000000000
633205322443013
73234111450252
oct532321044321
9143006831610
1046494140625
1118799804009
129016963469
1344cc63141a
142370c88b29
151321bcba00
hexad34448d1

46494140625 has 99 divisors (see below), whose sum is σ = 87756345859. Its totient is φ = 23718750000.

The previous prime is 46494140603. The next prime is 46494140629. The reversal of 46494140625 is 52604149464.

The square root of 46494140625 is 215625.

It is a perfect power (a square), and thus also a powerful number.

46494140625 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 4 + 14 + 0 + 625 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 267420609 + 46226720016 = 16353^2 + 215004^2 .

It is not a de Polignac number, because 46494140625 - 29 = 46494140113 is a prime.

It is a super-2 number, since 2×464941406252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46494140629) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 2021484364 + ... + 2021484386.

Almost surely, 246494140625 is an apocalyptic number.

46494140625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46494140625 is the 215625-th square number.

46494140625 is the 107813-rd centered octagonal number.

It is an amenable number.

46494140625 is a deficient number, since it is larger than the sum of its proper divisors (41262205234).

46494140625 is an frugal number, since it uses more digits than its factorization.

46494140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46494140625 in words is "forty-six billion, four hundred ninety-four million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 125 207 225 345 375 529 575 625 1035 1125 1587 1725 1875 2645 2875 3125 4761 5175 5625 7935 8625 9375 13225 14375 15625 23805 25875 28125 39675 43125 46875 66125 71875 78125 119025 129375 140625 198375 215625 234375 330625 359375 390625 595125 646875 703125 991875 1078125 1171875 1653125 1796875 1953125 2975625 3234375 3515625 4959375 5390625 5859375 8265625 8984375 9765625 14878125 16171875 17578125 24796875 26953125 29296875 41328125 44921875 74390625 80859375 87890625 123984375 134765625 206640625 224609375 371953125 404296875 619921875 673828125 1033203125 1859765625 2021484375 3099609375 5166015625 9298828125 15498046875 46494140625