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42641676 = 223271115383
BaseRepresentation
bin1010001010101…
…0100100001100
32222020102101100
42202222210030
541404013201
64121543100
71025306520
oct242524414
988212340
1042641676
1122085360
1212344a90
138ab007c
14593dd80
153b24886
hex28aa90c

42641676 has 72 divisors (see below), whose sum is σ = 134394624. Its totient is φ = 11075040.

The previous prime is 42641659. The next prime is 42641699. The reversal of 42641676 is 67614624.

42641676 is a `hidden beast` number, since 4 + 2 + 641 + 6 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42641676.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4920 + ... + 10463.

It is an arithmetic number, because the mean of its divisors is an integer number (1866592).

Almost surely, 242641676 is an apocalyptic number.

It is an amenable number.

42641676 is an abundant number, since it is smaller than the sum of its proper divisors (91752948).

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

42641676 is a wasteful number, since it uses less digits than its factorization.

42641676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15411 (or 15406 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42641676 is about 6530.0594178001. The cubic root of 42641676 is about 349.3639495760.

The spelling of 42641676 in words is "forty-two million, six hundred forty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 15383 30766 46149 61532 92298 107681 138447 169213 184596 215362 276894 323043 338426 430724 507639 553788 646086 676852 969129 1015278 1184491 1292172 1522917 1938258 2030556 2368982 3045834 3553473 3876516 4737964 6091668 7106946 10660419 14213892 21320838 42641676