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42406936 = 231113191951
BaseRepresentation
bin1010000111000…
…1010000011000
32221210111101021
42201301100120
541324010221
64112532224
71023311245
oct241612030
987714337
1042406936
1121a34a60
1212251074
138a2a280
1458bc5cc
153aca041
hex2871418

42406936 has 64 divisors (see below), whose sum is σ = 98380800. Its totient is φ = 16848000.

The previous prime is 42406933. The next prime is 42406937. The reversal of 42406936 is 63960424.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42406933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20761 + ... + 22711.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 242406936 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 42406936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49190400).

42406936 is an abundant number, since it is smaller than the sum of its proper divisors (55973864).

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

42406936 is a wasteful number, since it uses less digits than its factorization.

42406936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 42406936 is about 6512.0608105269. The cubic root of 42406936 is about 348.7216933813.

The spelling of 42406936 in words is "forty-two million, four hundred six thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 209 247 286 418 494 572 836 988 1144 1672 1951 1976 2717 3902 5434 7804 10868 15608 21461 21736 25363 37069 42922 50726 74138 85844 101452 148276 171688 202904 278993 296552 407759 481897 557986 815518 963794 1115972 1631036 1927588 2231944 3262072 3855176 5300867 10601734 21203468 42406936