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42014388 = 223132937251
BaseRepresentation
bin1010000001000…
…1011010110100
32221001112220110
42200101122310
541223430023
64100303020
71020054633
oct240213264
987045813
1042014388
1121797039
12120a1a70
1389206b0
14581951a
153a4da93
hex28116b4

42014388 has 96 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 12096000.

The previous prime is 42014383. The next prime is 42014411. The reversal of 42014388 is 88341024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014383) 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, 167263 + ... + 167513.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 242014388 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 42014388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306880).

42014388 is an abundant number, since it is smaller than the sum of its proper divisors (70599372).

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

42014388 is a wasteful number, since it uses less digits than its factorization.

42014388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42014388 is about 6481.8506616552. The cubic root of 42014388 is about 347.6423528707.

The spelling of 42014388 in words is "forty-two million, fourteen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 37 39 52 58 74 78 87 111 116 148 156 174 222 251 348 377 444 481 502 753 754 962 1004 1073 1131 1443 1506 1508 1924 2146 2262 2886 3012 3219 3263 4292 4524 5772 6438 6526 7279 9287 9789 12876 13052 13949 14558 18574 19578 21837 27861 27898 29116 37148 39156 41847 43674 55722 55796 83694 87348 94627 111444 120731 167388 189254 241462 269323 283881 362193 378508 482924 538646 567762 724386 807969 1077292 1135524 1448772 1615938 3231876 3501199 7002398 10503597 14004796 21007194 42014388