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45557008 = 2471771337
BaseRepresentation
bin1010110111001…
…0010100010000
310011201112110121
42231302110100
543130311013
64304240024
71062141160
oct255622420
9104645417
1045557008
1123796722
1213310014
139591013
14609c5a0
153eed58d
hex2b72510

45557008 has 80 divisors (see below), whose sum is σ = 108635904. Its totient is φ = 18063360.

The previous prime is 45556981. The next prime is 45557023. The reversal of 45557008 is 80075554.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135016 + ... + 135352.

Almost surely, 245557008 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 45557008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54317952).

45557008 is an abundant number, since it is smaller than the sum of its proper divisors (63078896).

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

45557008 is a wasteful number, since it uses less digits than its factorization.

45557008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 45557008 is about 6749.5931729253. The cubic root of 45557008 is about 357.1508854881.

The spelling of 45557008 in words is "forty-five million, five hundred fifty-seven thousand, eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 71 112 119 136 142 238 272 284 337 476 497 568 674 952 994 1136 1207 1348 1904 1988 2359 2414 2696 3976 4718 4828 5392 5729 7952 8449 9436 9656 11458 16898 18872 19312 22916 23927 33796 37744 40103 45832 47854 67592 80206 91664 95708 135184 160412 167489 191416 320824 334978 382832 406759 641648 669956 813518 1339912 1627036 2679824 2847313 3254072 5694626 6508144 11389252 22778504 45557008