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45963440 = 245574543
BaseRepresentation
bin1010111101010…
…1100010110000
310012111011222122
42233111202300
543231312230
64321053412
71065453125
oct257254260
9105434878
1045963440
1123a44016
1213487268
1396a4003
14616674c
15407dbe5
hex2bd58b0

45963440 has 20 divisors (see below), whose sum is σ = 106865184. Its totient is φ = 18385344.

The previous prime is 45963409. The next prime is 45963457. The reversal of 45963440 is 4436954.

45963440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×459634402 = 4225275633267200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45963440.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 287192 + ... + 287351.

Almost surely, 245963440 is an apocalyptic number.

45963440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45963440 is an abundant number, since it is smaller than the sum of its proper divisors (60901744).

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

45963440 is a wasteful number, since it uses less digits than its factorization.

45963440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574556 (or 574550 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 45963440 is about 6779.6342084216. The cubic root of 45963440 is about 358.2098371378.

The spelling of 45963440 in words is "forty-five million, nine hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 574543 1149086 2298172 2872715 4596344 5745430 9192688 11490860 22981720 45963440