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45754368 = 211311677
BaseRepresentation
bin1010111010001…
…0100000000000
310012002120012020
42232202200000
543203114433
64312401440
71063622442
oct256424000
9105076166
1045754368
1123910a30
12133a6280
13962caba
146110492
15403bcb3
hex2ba2800

45754368 has 96 divisors (see below), whose sum is σ = 133267680. Its totient is φ = 13844480.

The previous prime is 45754363. The next prime is 45754391. The reversal of 45754368 is 86345754.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (45754363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67246 + ... + 67922.

It is an arithmetic number, because the mean of its divisors is an integer number (1388205).

Almost surely, 245754368 is an apocalyptic number.

45754368 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 45754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66633840).

45754368 is an abundant number, since it is smaller than the sum of its proper divisors (87513312).

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

45754368 is a wasteful number, since it uses less digits than its factorization.

45754368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 45754368 is about 6764.1975133788. The cubic root of 45754368 is about 357.6658867933.

The spelling of 45754368 in words is "forty-five million, seven hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 677 704 768 1024 1056 1354 1408 1536 2031 2048 2112 2708 2816 3072 4062 4224 5416 5632 6144 7447 8124 8448 10832 11264 14894 16248 16896 21664 22341 22528 29788 32496 33792 43328 44682 59576 64992 67584 86656 89364 119152 129984 173312 178728 238304 259968 346624 357456 476608 519936 693248 714912 953216 1039872 1386496 1429824 1906432 2079744 2859648 3812864 4159488 5719296 7625728 11438592 15251456 22877184 45754368