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42303492 = 22337115087
BaseRepresentation
bin1010000101100…
…0000000000100
32221121020111000
42201120000010
541312202432
64110413300
71022400540
oct241300004
987536430
1042303492
1121974270
1212201230
1389c216a
145892a20
153aa957c
hex2858004

42303492 has 96 divisors (see below), whose sum is σ = 136765440. Its totient is φ = 10985760.

The previous prime is 42303491. The next prime is 42303511. The reversal of 42303492 is 29430324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42303491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5773 + ... + 10859.

It is an arithmetic number, because the mean of its divisors is an integer number (1424640).

Almost surely, 242303492 is an apocalyptic number.

42303492 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42303492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68382720).

42303492 is an abundant number, since it is smaller than the sum of its proper divisors (94461948).

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

42303492 is a wasteful number, since it uses less digits than its factorization.

42303492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42303492 is about 6504.1134676449. The cubic root of 42303492 is about 348.4379148192.

The spelling of 42303492 in words is "forty-two million, three hundred three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 5087 8316 10174 15261 20348 30522 35609 45783 55957 61044 71218 91566 106827 111914 137349 142436 167871 183132 213654 223828 274698 320481 335742 391699 427308 503613 549396 640962 671484 783398 961443 1007226 1175097 1281924 1510839 1566796 1922886 2014452 2350194 3021678 3525291 3845772 4700388 6043356 7050582 10575873 14101164 21151746 42303492