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45963408 = 243832139
BaseRepresentation
bin1010111101010…
…1100010010000
310012111011221110
42233111202100
543231312113
64321053320
71065453051
oct257254220
9105434843
1045963408
1123a43a97
1213487240
1396a3caa
146166728
15407dbc3
hex2bd5890

45963408 has 60 divisors (see below), whose sum is σ = 121051280. Its totient is φ = 15027648.

The previous prime is 45963397. The next prime is 45963409. The reversal of 45963408 is 80436954.

It is a super-2 number, since 2×459634082 = 4225269749948928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45963409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330603 + ... + 330741.

Almost surely, 245963408 is an apocalyptic number.

45963408 is a gapful number since it is divisible by the number (48) 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 45963408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60525640).

45963408 is an abundant number, since it is smaller than the sum of its proper divisors (75087872).

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

45963408 is a wasteful number, since it uses less digits than its factorization.

45963408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 45963408 is about 6779.6318484118. The cubic root of 45963408 is about 358.2097540086.

The spelling of 45963408 in words is "forty-five million, nine hundred sixty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 139 166 249 278 332 417 498 556 664 834 996 1112 1328 1668 1992 2224 3336 3984 6672 6889 11537 13778 20667 23074 27556 34611 41334 46148 55112 69222 82668 92296 110224 138444 165336 184592 276888 330672 553776 957571 1915142 2872713 3830284 5745426 7660568 11490852 15321136 22981704 45963408