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42116880 = 24351313499
BaseRepresentation
bin1010000010101…
…0011100010000
32221020202111110
42200222130100
541240220010
64102413320
71020662511
oct240523420
987222443
1042116880
1121857043
1212131240
138958240
145844a08
153a6e120
hex282a710

42116880 has 80 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 10366464.

The previous prime is 42116873. The next prime is 42116897. The reversal of 42116880 is 8861124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3630 + ... + 9869.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 242116880 is an apocalyptic number.

42116880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42116880 is an abundant number, since it is smaller than the sum of its proper divisors (98499120).

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

42116880 is a wasteful number, since it uses less digits than its factorization.

42116880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13528 (or 13522 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 42116880 is about 6489.7519212987. The cubic root of 42116880 is about 347.9248086987.

The spelling of 42116880 in words is "forty-two million, one hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 13499 26998 40497 53996 67495 80994 107992 134990 161988 175487 202485 215984 269980 323976 350974 404970 526461 539960 647952 701948 809940 877435 1052922 1079920 1403896 1619880 1754870 2105844 2632305 2807792 3239760 3509740 4211688 5264610 7019480 8423376 10529220 14038960 21058440 42116880