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42016410 = 23251924571
BaseRepresentation
bin1010000001000…
…1111010011010
32221001122200100
42200101322122
541224011120
64100320230
71020063552
oct240217232
987048610
1042016410
1121798607
12120a3076
1389215a7
14581a162
153a4e490
hex2811e9a

42016410 has 48 divisors (see below), whose sum is σ = 114996960. Its totient is φ = 10614240.

The previous prime is 42016399. The next prime is 42016417. The reversal of 42016410 is 1461024.

42016410 is a `hidden beast` number, since 4 + 20 + 1 + 641 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42016417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10576 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (2395770).

Almost surely, 242016410 is an apocalyptic number.

42016410 is an abundant number, since it is smaller than the sum of its proper divisors (72980550).

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

42016410 is a wasteful number, since it uses less digits than its factorization.

42016410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24603 (or 24600 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42016410 is about 6482.0066337516. The cubic root of 42016410 is about 347.6479297028.

Adding to 42016410 its reverse (1461024), we get a palindrome (43477434).

The spelling of 42016410 in words is "forty-two million, sixteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 24571 49142 73713 122855 147426 221139 245710 368565 442278 466849 737130 933698 1105695 1400547 2211390 2334245 2801094 4201641 4668490 7002735 8403282 14005470 21008205 42016410