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42664552 = 2373759349
BaseRepresentation
bin1010001011000…
…0001001101000
32222021120202121
42202300021220
541410231202
64122241024
71025433310
oct242601150
988246677
1042664552
11220a0567
1212356174
138aba5c8
145948440
153b2b537
hex28b0268

42664552 has 64 divisors (see below), whose sum is σ = 95760000. Its totient is φ = 17438976.

The previous prime is 42664547. The next prime is 42664603. The reversal of 42664552 is 25546624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122074 + ... + 122422.

It is an arithmetic number, because the mean of its divisors is an integer number (1496250).

Almost surely, 242664552 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 42664552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880000).

42664552 is an abundant number, since it is smaller than the sum of its proper divisors (53095448).

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

42664552 is a wasteful number, since it uses less digits than its factorization.

42664552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 42664552 is about 6531.8107749689. The cubic root of 42664552 is about 349.4264128882.

The spelling of 42664552 in words is "forty-two million, six hundred sixty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 37 56 59 74 118 148 236 259 296 349 413 472 518 698 826 1036 1396 1652 2072 2183 2443 2792 3304 4366 4886 8732 9772 12913 15281 17464 19544 20591 25826 30562 41182 51652 61124 82364 90391 103304 122248 144137 164728 180782 288274 361564 576548 723128 761867 1153096 1523734 3047468 5333069 6094936 10666138 21332276 42664552