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42593752 = 2331415971
BaseRepresentation
bin1010001001111…
…0110111011000
32222010222122101
42202132313120
541401000002
64120533144
71025020015
oct242366730
988128571
1042593752
1122052353
12123211b4
138a94306
14592a70c
153b15587
hex289edd8

42593752 has 64 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 19488000.

The previous prime is 42593737. The next prime is 42593753. The reversal of 42593752 is 25739524.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42593753) 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, 599877 + ... + 599947.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 242593752 is an apocalyptic number.

It is an amenable number.

42593752 is an abundant number, since it is smaller than the sum of its proper divisors (44497448).

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

42593752 is a wasteful number, since it uses less digits than its factorization.

42593752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its digits is 75600, while the sum is 37.

The square root of 42593752 is about 6526.3888943274. The cubic root of 42593752 is about 349.2330198085.

The spelling of 42593752 in words is "forty-two million, five hundred ninety-three thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 31 41 59 62 71 82 118 124 142 164 236 248 284 328 472 568 1271 1829 2201 2419 2542 2911 3658 4189 4402 4838 5084 5822 7316 8378 8804 9676 10168 11644 14632 16756 17608 19352 23288 33512 74989 90241 129859 149978 171749 180482 259718 299956 343498 360964 519436 599912 686996 721928 1038872 1373992 5324219 10648438 21296876 42593752