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45750744 = 2334135431
BaseRepresentation
bin1010111010000…
…1100111011000
310012002101020000
42232201213120
543203010434
64312333000
71063606044
oct256414730
9105071200
1045750744
1123909236
12133a4160
13962b260
14610d024
15403ab99
hex2ba19d8

45750744 has 80 divisors (see below), whose sum is σ = 138027120. Its totient is φ = 14074560.

The previous prime is 45750737. The next prime is 45750769. The reversal of 45750744 is 44705754.

45750744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 45750699 and 45750708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5709 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (1725339).

Almost surely, 245750744 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 45750744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69013560).

45750744 is an abundant number, since it is smaller than the sum of its proper divisors (92276376).

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

45750744 is a wasteful number, since it uses less digits than its factorization.

45750744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 45750744 is about 6763.9296270733. The cubic root of 45750744 is about 357.6564435026.

The spelling of 45750744 in words is "forty-five million, seven hundred fifty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 5431 8424 10862 16293 21724 32586 43448 48879 65172 70603 97758 130344 141206 146637 195516 211809 282412 293274 391032 423618 439911 564824 586548 635427 847236 879822 1173096 1270854 1694472 1759644 1906281 2541708 3519288 3812562 5083416 5718843 7625124 11437686 15250248 22875372 45750744