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45172608 = 273139049
BaseRepresentation
bin1010110001010…
…0011110000000
310011000000011120
42230110132000
543031010413
64252112240
71055650365
oct254243600
9104000146
1045172608
1123553938
1213165680
139488070
145ddc46c
153e74723
hex2b14780

45172608 has 64 divisors (see below), whose sum is σ = 129234000. Its totient is φ = 13897728.

The previous prime is 45172577. The next prime is 45172627. The reversal of 45172608 is 80627154.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468 + ... + 9516.

Almost surely, 245172608 is an apocalyptic number.

45172608 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 45172608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64617000).

45172608 is an abundant number, since it is smaller than the sum of its proper divisors (84061392).

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

45172608 is a wasteful number, since it uses less digits than its factorization.

45172608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9079 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 45172608 is about 6721.0570597191. The cubic root of 45172608 is about 356.1435266915.

The spelling of 45172608 in words is "forty-five million, one hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 9049 18098 27147 36196 54294 72392 108588 117637 144784 217176 235274 289568 352911 434352 470548 579136 705822 868704 941096 1158272 1411644 1737408 1882192 2823288 3474816 3764384 5646576 7528768 11293152 15057536 22586304 45172608