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42091992 = 233219291061
BaseRepresentation
bin1010000010010…
…0010111011000
32221012111100200
42200210113120
541233420432
64102102200
71020530115
oct240442730
987174320
1042091992
112183a378
121211a960
138949b07
14583990c
153a66a7c
hex28245d8

42091992 has 96 divisors (see below), whose sum is σ = 124254000. Its totient is φ = 12821760.

The previous prime is 42091967. The next prime is 42091993. The reversal of 42091992 is 29919024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42091993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39142 + ... + 40202.

Almost surely, 242091992 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 42091992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62127000).

42091992 is an abundant number, since it is smaller than the sum of its proper divisors (82162008).

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

42091992 is a wasteful number, since it uses less digits than its factorization.

42091992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 42091992 is about 6487.8341532441. The cubic root of 42091992 is about 347.8562624781.

The spelling of 42091992 in words is "forty-two million, ninety-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 684 696 1044 1061 1102 1368 1653 2088 2122 2204 3183 3306 4244 4408 4959 6366 6612 8488 9549 9918 12732 13224 19098 19836 20159 25464 30769 38196 39672 40318 60477 61538 76392 80636 92307 120954 123076 161272 181431 184614 241908 246152 276921 362862 369228 483816 553842 584611 725724 738456 1107684 1169222 1451448 1753833 2215368 2338444 3507666 4676888 5261499 7015332 10522998 14030664 21045996 42091992