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42446404 = 227111310601
BaseRepresentation
bin1010000111101…
…0111001000100
32221212111112001
42201322321010
541331241104
64113435044
71023534310
oct241727104
987774461
1042446404
1121a61680
121226ba84
138a42220
1458ccb40
153ad6aa4
hex287ae44

42446404 has 48 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 15264000.

The previous prime is 42446389. The next prime is 42446407. The reversal of 42446404 is 40464424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42446407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297 + ... + 9304.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 242446404 is an apocalyptic number.

42446404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42446404 is an abundant number, since it is smaller than the sum of its proper divisors (57297212).

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

42446404 is a wasteful number, since it uses less digits than its factorization.

42446404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10636 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 42446404 is about 6515.0904828713. The cubic root of 42446404 is about 348.8298445587.

It can be divided in two parts, 4244 and 6404, that added together give a cube (10648 = 223).

The spelling of 42446404 in words is "forty-two million, four hundred forty-six thousand, four hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 10601 21202 42404 74207 116611 137813 148414 233222 275626 296828 466444 551252 816277 964691 1515943 1632554 1929382 3031886 3265108 3858764 6063772 10611601 21223202 42446404