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42579368 = 23133147281
BaseRepresentation
bin1010001001101…
…1010110101000
32222010020220122
42202123112220
541400014433
64120342412
71024630046
oct242332650
988106818
1042579368
1122042567
1212314a08
138a8a8c0
145925396
153b11198
hex289b5a8

42579368 has 64 divisors (see below), whose sum is σ = 90961920. Its totient is φ = 18547200.

The previous prime is 42579359. The next prime is 42579391. The reversal of 42579368 is 86397524.

Its product of digits (362880) is a multiple of the sum of its prime factors (378).

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, 151388 + ... + 151668.

It is an arithmetic number, because the mean of its divisors is an integer number (1421280).

Almost surely, 242579368 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 42579368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45480960).

42579368 is an abundant number, since it is smaller than the sum of its proper divisors (48382552).

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

42579368 is a wasteful number, since it uses less digits than its factorization.

42579368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 42579368 is about 6525.2868136198. The cubic root of 42579368 is about 349.1937031397.

The spelling of 42579368 in words is "forty-two million, five hundred seventy-nine thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 26 31 47 52 62 94 104 124 188 248 281 376 403 562 611 806 1124 1222 1457 1612 2248 2444 2914 3224 3653 4888 5828 7306 8711 11656 13207 14612 17422 18941 26414 29224 34844 37882 52828 69688 75764 105656 113243 151528 171691 226486 343382 409417 452972 686764 818834 905944 1373528 1637668 3275336 5322421 10644842 21289684 42579368