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42940704 = 2533147307
BaseRepresentation
bin1010001111001…
…1100100100000
32222210121120110
42203303210200
541443100304
64132211320
71030663362
oct243634440
988717513
1042940704
1122269a94
1212469b40
138b86201
1459bad32
153b83289
hex28f3920

42940704 has 96 divisors (see below), whose sum is σ = 119218176. Its totient is φ = 13512960.

The previous prime is 42940697. The next prime is 42940721. The reversal of 42940704 is 40704924.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139719 + ... + 140025.

It is an arithmetic number, because the mean of its divisors is an integer number (1241856).

Almost surely, 242940704 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 42940704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59609088).

42940704 is an abundant number, since it is smaller than the sum of its proper divisors (76277472).

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

42940704 is a wasteful number, since it uses less digits than its factorization.

42940704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42940704 is about 6552.9156869290. The cubic root of 42940704 is about 350.1786951449.

The spelling of 42940704 in words is "forty-two million, nine hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 93 94 96 124 141 186 188 248 282 307 372 376 496 564 614 744 752 921 992 1128 1228 1457 1488 1504 1842 2256 2456 2914 2976 3684 4371 4512 4912 5828 7368 8742 9517 9824 11656 14429 14736 17484 19034 23312 28551 28858 29472 34968 38068 43287 46624 57102 57716 69936 76136 86574 114204 115432 139872 152272 173148 228408 230864 304544 346296 447299 456816 461728 692592 894598 913632 1341897 1385184 1789196 2683794 3578392 5367588 7156784 10735176 14313568 21470352 42940704