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45083148 = 22311261509
BaseRepresentation
bin1010101111111…
…0101000001100
310010211110110020
42223332220030
543020130043
64250142140
71055125515
oct253765014
9103743406
1045083148
11234a2700
1213121950
139456426
145db7a0c
153e57e83
hex2afea0c

45083148 has 72 divisors (see below), whose sum is σ = 117752880. Its totient is φ = 13411200.

The previous prime is 45083113. The next prime is 45083173. The reversal of 45083148 is 84138054.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88318 + ... + 88826.

Almost surely, 245083148 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 45083148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58876440).

45083148 is an abundant number, since it is smaller than the sum of its proper divisors (72669732).

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

45083148 is a wasteful number, since it uses less digits than its factorization.

45083148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 45083148 is about 6714.3985583223. The cubic root of 45083148 is about 355.9082686686.

The spelling of 45083148 in words is "forty-five million, eighty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 121 122 132 183 242 244 363 366 484 509 671 726 732 1018 1342 1452 1527 2013 2036 2684 3054 4026 5599 6108 7381 8052 11198 14762 16797 22143 22396 29524 31049 33594 44286 61589 62098 67188 88572 93147 123178 124196 184767 186294 246356 341539 369534 372588 683078 739068 1024617 1366156 2049234 3756929 4098468 7513858 11270787 15027716 22541574 45083148