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42094624 = 2511139199
BaseRepresentation
bin1010000010010…
…1000000100000
32221012121222011
42200211000200
541234011444
64102122304
71020540565
oct240450040
987177864
1042094624
1121841350
1212120394
13894b080
14583a86c
153a67734
hex2825020

42094624 has 48 divisors (see below), whose sum is σ = 97372800. Its totient is φ = 17660160.

The previous prime is 42094609. The next prime is 42094649. The reversal of 42094624 is 42649024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 9175.

It is an arithmetic number, because the mean of its divisors is an integer number (2028600).

Almost surely, 242094624 is an apocalyptic number.

42094624 is a gapful number since it is divisible by the number (44) 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 42094624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48686400).

42094624 is an abundant number, since it is smaller than the sum of its proper divisors (55278176).

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

42094624 is a wasteful number, since it uses less digits than its factorization.

42094624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 42094624 is about 6488.0369912632. The cubic root of 42094624 is about 347.8635127772.

The spelling of 42094624 in words is "forty-two million, ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 9199 18398 36796 73592 101189 119587 147184 202378 239174 294368 404756 478348 809512 956696 1315457 1619024 1913392 2630914 3238048 3826784 5261828 10523656 21047312 42094624