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45152256 = 21137349
BaseRepresentation
bin1010110000111…
…1100000000000
310010221222020210
42230033200000
543024333011
64251434120
71055534142
oct254174000
9103858223
1045152256
112353a616
1213155940
13947ba16
145dd4c92
153e6d6a6
hex2b0f800

45152256 has 48 divisors (see below), whose sum is σ = 120393000. Its totient is φ = 15048704.

The previous prime is 45152251. The next prime is 45152257. The reversal of 45152256 is 65225154.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45152251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2470 + ... + 9818.

Almost surely, 245152256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60196500).

45152256 is an abundant number, since it is smaller than the sum of its proper divisors (75240744).

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

45152256 is an equidigital number, since it uses as much as digits as its factorization.

45152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374 (or 7354 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 45152256 is about 6719.5428415927. The cubic root of 45152256 is about 356.0900331978.

The spelling of 45152256 in words is "forty-five million, one hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 7349 14698 22047 29396 44094 58792 88188 117584 176376 235168 352752 470336 705504 940672 1411008 1881344 2822016 3762688 5644032 7525376 11288064 15050752 22576128 45152256