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45152208 = 2433195501
BaseRepresentation
bin1010110000111…
…1011111010000
310010221222012000
42230033133100
543024332313
64251434000
71055534043
oct254173720
9103858160
1045152208
112353a582
1213155900
13947b9aa
145dd4c5a
153e6d673
hex2b0f7d0

45152208 has 80 divisors (see below), whose sum is σ = 136449600. Its totient is φ = 14256000.

The previous prime is 45152147. The next prime is 45152251. The reversal of 45152208 is 80225154.

It is a happy number.

45152208 is a `hidden beast` number, since 451 + 5 + 2 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5458 + ... + 10958.

It is an arithmetic number, because the mean of its divisors is an integer number (1705620).

Almost surely, 245152208 is an apocalyptic number.

45152208 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 45152208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68224800).

45152208 is an abundant number, since it is smaller than the sum of its proper divisors (91297392).

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

45152208 is a wasteful number, since it uses less digits than its factorization.

45152208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45152208 is about 6719.5392699202. The cubic root of 45152208 is about 356.0899070149.

The spelling of 45152208 in words is "forty-five million, one hundred fifty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 5501 8208 11002 16503 22004 33006 44008 49509 66012 88016 99018 104519 132024 148527 198036 209038 264048 297054 313557 396072 418076 594108 627114 792144 836152 940671 1188216 1254228 1672304 1881342 2376432 2508456 2822013 3762684 5016912 5644026 7525368 11288052 15050736 22576104 45152208