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42861936 = 24313149461
BaseRepresentation
bin1010001110000…
…0010101110000
32222122121112010
42203200111300
541433040221
64130402520
71030214625
oct243402560
988577463
1042861936
1122215897
1212430440
138b593c0
14599a34c
153b69c76
hex28e0570

42861936 has 80 divisors (see below), whose sum is σ = 120304800. Its totient is φ = 13071360.

The previous prime is 42861911. The next prime is 42861941. The reversal of 42861936 is 63916824.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 42861894 and 42861903.

It is a congruent number.

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, 92746 + ... + 93206.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 242861936 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 42861936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60152400).

42861936 is an abundant number, since it is smaller than the sum of its proper divisors (77442864).

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

42861936 is a wasteful number, since it uses less digits than its factorization.

42861936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 42861936 is about 6546.9027791773. The cubic root of 42861936 is about 349.9644480896.

The spelling of 42861936 in words is "forty-two million, eight hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 149 156 208 298 312 447 461 596 624 894 922 1192 1383 1788 1844 1937 2384 2766 3576 3688 3874 5532 5811 5993 7152 7376 7748 11064 11622 11986 15496 17979 22128 23244 23972 30992 35958 46488 47944 68689 71916 92976 95888 137378 143832 206067 274756 287664 412134 549512 824268 892957 1099024 1648536 1785914 2678871 3297072 3571828 5357742 7143656 10715484 14287312 21430968 42861936