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45683088 = 24311312791
BaseRepresentation
bin1010111001000…
…1000110010000
310011221221102020
42232101012100
543143324323
64311051440
71063204563
oct256210620
9104857366
1045683088
1123872420
1213370b80
139606519
1460d24da
154025ae3
hex2b91190

45683088 has 80 divisors (see below), whose sum is σ = 132943872. Its totient is φ = 13392000.

The previous prime is 45683081. The next prime is 45683089. The reversal of 45683088 is 88038654.

It is not an unprimeable number, because it can be changed into a prime (45683081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14973 + ... + 17763.

Almost surely, 245683088 is an apocalyptic number.

45683088 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 45683088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66471936).

45683088 is an abundant number, since it is smaller than the sum of its proper divisors (87260784).

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

45683088 is a wasteful number, since it uses less digits than its factorization.

45683088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 45683088 is about 6758.9265419887. The cubic root of 45683088 is about 357.4800562659.

The spelling of 45683088 in words is "forty-five million, six hundred eighty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 2791 4092 5456 5582 8184 8373 11164 16368 16746 22328 30701 33492 44656 61402 66984 86521 92103 122804 133968 173042 184206 245608 259563 346084 368412 491216 519126 692168 736824 951731 1038252 1384336 1473648 1903462 2076504 2855193 3806924 4153008 5710386 7613848 11420772 15227696 22841544 45683088