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45454752 = 2532723221
BaseRepresentation
bin1010110101100…
…1010110100000
310011112100012100
42231121112200
543114023002
64302130400
71061234100
oct255312640
9104470170
1045454752
1123726912
1213280a00
139556605
146073200
153ecd11c
hex2b595a0

45454752 has 108 divisors (see below), whose sum is σ = 150412626. Its totient is φ = 12983040.

The previous prime is 45454733. The next prime is 45454789. The reversal of 45454752 is 25745454.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33593616 + 11861136 = 5796^2 + 3444^2 .

It is a super-2 number, since 2×454547522 = 4132268958763008, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12502 + ... + 15722.

Almost surely, 245454752 is an apocalyptic number.

45454752 is a gapful number since it is divisible by the number (42) 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 45454752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75206313).

45454752 is an abundant number, since it is smaller than the sum of its proper divisors (104957874).

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

45454752 is a wasteful number, since it uses less digits than its factorization.

45454752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3233 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 45454752 is about 6742.0139424359. The cubic root of 45454752 is about 356.8834683097.

The spelling of 45454752 in words is "forty-five million, four hundred fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3221 3528 4704 6442 7056 9663 12884 14112 19326 22547 25768 28989 38652 45094 51536 57978 67641 77304 90188 103072 115956 135282 154608 157829 180376 202923 231912 270564 309216 315658 360752 405846 463824 473487 541128 631316 721504 811692 927648 946974 1082256 1262632 1420461 1623384 1893948 2164512 2525264 2840922 3246768 3787896 5050528 5681844 6493536 7575792 11363688 15151584 22727376 45454752