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42938632 = 23111961421
BaseRepresentation
bin1010001111001…
…1000100001000
32222210111201201
42203303010020
541443014012
64132153544
71030654342
oct243630410
988714651
1042938632
1122268480
12124688b4
138b85299
1459ba292
153b82857
hex28f3108

42938632 has 64 divisors (see below), whose sum is σ = 94190400. Its totient is φ = 18144000.

The previous prime is 42938579. The next prime is 42938657. The reversal of 42938632 is 23683924.

It is a super-2 number, since 2×429386322 = 3687452236062848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42938591 and 42938600.

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, 101782 + ... + 102202.

It is an arithmetic number, because the mean of its divisors is an integer number (1471725).

Almost surely, 242938632 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 42938632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47095200).

42938632 is an abundant number, since it is smaller than the sum of its proper divisors (51251768).

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

42938632 is a wasteful number, since it uses less digits than its factorization.

42938632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 514 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 42938632 is about 6552.7575874589. The cubic root of 42938632 is about 350.1730627118.

The spelling of 42938632 in words is "forty-two million, nine hundred thirty-eight thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 61 76 88 122 152 209 244 418 421 488 671 836 842 1159 1342 1672 1684 2318 2684 3368 4631 4636 5368 7999 9262 9272 12749 15998 18524 25498 25681 31996 37048 50996 51362 63992 87989 101992 102724 175978 205448 282491 351956 487939 564982 703912 975878 1129964 1951756 2259928 3903512 5367329 10734658 21469316 42938632