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42013494 = 232173143103
BaseRepresentation
bin1010000001000…
…1001100110110
32221001111200100
42200101030312
541223412434
64100254530
71020052215
oct240211466
987044610
1042013494
11217963a6
12120a1446
138920173
14581907c
153a4d699
hex2811336

42013494 has 96 divisors (see below), whose sum is σ = 102795264. Its totient is φ = 12337920.

The previous prime is 42013483. The next prime is 42013501. The reversal of 42013494 is 49431024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407847 + ... + 407949.

It is an arithmetic number, because the mean of its divisors is an integer number (1070784).

Almost surely, 242013494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42013494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51397632).

42013494 is an abundant number, since it is smaller than the sum of its proper divisors (60781770).

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

42013494 is a wasteful number, since it uses less digits than its factorization.

42013494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42013494 is about 6481.7816995021. The cubic root of 42013494 is about 347.6398870927.

The spelling of 42013494 in words is "forty-two million, thirteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 31 34 43 51 62 86 93 102 103 129 153 186 206 258 279 306 309 387 527 558 618 731 774 927 1054 1333 1462 1581 1751 1854 2193 2666 3162 3193 3502 3999 4386 4429 4743 5253 6386 6579 7998 8858 9486 9579 10506 11997 13158 13287 15759 19158 22661 23994 26574 28737 31518 39861 45322 54281 57474 67983 75293 79722 108562 135966 137299 150586 162843 203949 225879 274598 325686 407898 411897 451758 488529 677637 823794 977058 1235691 1355274 2334083 2471382 4668166 7002249 14004498 21006747 42013494