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42974568 = 23327213937
BaseRepresentation
bin1010001111101…
…1110101101000
32222212100000200
42203323311220
542000141233
64133032200
71031164200
oct243736550
988770020
1042974568
112229247a
1212485660
138b98750
1459c9400
153b8d313
hex28fbd68

42974568 has 144 divisors (see below), whose sum is σ = 145962180. Its totient is φ = 11321856.

The previous prime is 42974543. The next prime is 42974593. The reversal of 42974568 is 86547924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42974543) and next prime (42974593).

It can be written as a sum of positive squares in 2 ways, for example, as 34082244 + 8892324 = 5838^2 + 2982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45396 + ... + 46332.

Almost surely, 242974568 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 42974568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72981090).

42974568 is an abundant number, since it is smaller than the sum of its proper divisors (102987612).

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

42974568 is a wasteful number, since it uses less digits than its factorization.

42974568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 962 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42974568 is about 6555.4990656700. The cubic root of 42974568 is about 350.2707238753.

The spelling of 42974568 in words is "forty-two million, nine hundred seventy-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 937 1092 1176 1274 1638 1764 1874 1911 2184 2548 2811 3276 3528 3748 3822 5096 5622 5733 6552 6559 7496 7644 8433 11244 11466 12181 13118 15288 16866 19677 22488 22932 24362 26236 33732 36543 39354 45864 45913 48724 52472 59031 67464 73086 78708 85267 91826 97448 109629 118062 137739 146172 157416 170534 183652 219258 236124 255801 275478 292344 341068 367304 413217 438516 472248 511602 550956 596869 682136 767403 826434 877032 1023204 1101912 1193738 1534806 1652868 1790607 2046408 2387476 3069612 3305736 3581214 4774952 5371821 6139224 7162428 10743642 14324856 21487284 42974568