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42057096 = 2334383491
BaseRepresentation
bin1010000001101…
…1110110001000
32221010201111020
42200123312020
541231311341
64101232440
71020323304
oct240336610
987121436
1042057096
1121816134
1212102720
138936c73
14582ad04
153a5b566
hex281bd88

42057096 has 64 divisors (see below), whose sum is σ = 109105920. Its totient is φ = 13500480.

The previous prime is 42057083. The next prime is 42057101. The reversal of 42057096 is 69075024.

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, 85411 + ... + 85901.

It is an arithmetic number, because the mean of its divisors is an integer number (1704780).

Almost surely, 242057096 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 42057096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54552960).

42057096 is an abundant number, since it is smaller than the sum of its proper divisors (67048824).

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

42057096 is a wasteful number, since it uses less digits than its factorization.

42057096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 42057096 is about 6485.1442543709. The cubic root of 42057096 is about 347.7601068308.

The spelling of 42057096 in words is "forty-two million, fifty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 43 83 86 129 166 172 249 258 332 344 491 498 516 664 982 996 1032 1473 1964 1992 2946 3569 3928 5892 7138 10707 11784 14276 21113 21414 28552 40753 42226 42828 63339 81506 84452 85656 122259 126678 163012 168904 244518 253356 326024 489036 506712 978072 1752379 3504758 5257137 7009516 10514274 14019032 21028548 42057096