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42674540 = 22553127317
BaseRepresentation
bin1010001011001…
…0100101101100
32222022002110112
42202302211230
541411041130
64122355152
71025504366
oct242624554
988262415
1042674540
11220a8017
121235bab8
138ac200c
14594bd36
153b2e495
hex28b296c

42674540 has 48 divisors (see below), whose sum is σ = 92316672. Its totient is φ = 16563456.

The previous prime is 42674537. The next prime is 42674581. The reversal of 42674540 is 4547624.

42674540 = T1 + T2 + ... + T634.

42674540 is a nontrivial binomial coefficient, being equal to C(636, 3).

It is a super-2 number, since 2×426745402 = 3642232728423200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42674497 and 42674506.

It is an unprimeable number.

It is the 634-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134462 + ... + 134778.

It is an arithmetic number, because the mean of its divisors is an integer number (1923264).

Almost surely, 242674540 is an apocalyptic number.

It is an amenable number.

42674540 is an abundant number, since it is smaller than the sum of its proper divisors (49642132).

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

42674540 is a wasteful number, since it uses less digits than its factorization.

42674540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 42674540 is about 6532.5752961600. The cubic root of 42674540 is about 349.4536782919.

The spelling of 42674540 in words is "forty-two million, six hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 53 106 127 212 254 265 317 508 530 634 635 1060 1268 1270 1585 2540 3170 6340 6731 13462 16801 26924 33602 33655 40259 67204 67310 80518 84005 134620 161036 168010 201295 336020 402590 805180 2133727 4267454 8534908 10668635 21337270 42674540