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42048936 = 2333194671
BaseRepresentation
bin1010000001100…
…1110110101000
32221010022022000
42200121312220
541231031221
64101131000
71020260436
oct240316650
987108260
1042048936
112180aa96
12120b9a60
138933337
145827d56
153a58e26
hex2819da8

42048936 has 32 divisors (see below), whose sum is σ = 116803200. Its totient is φ = 14016240.

The previous prime is 42048931. The next prime is 42048961. The reversal of 42048936 is 63984024.

It is a happy number.

It is a super-2 number, since 2×420489362 = 3536226037464192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42048936.

It is not an unprimeable number, because it can be changed into a prime (42048931) 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 7 ways as a sum of consecutive naturals, for example, 97120 + ... + 97551.

It is an arithmetic number, because the mean of its divisors is an integer number (3650100).

Almost surely, 242048936 is an apocalyptic number.

It is an amenable number.

42048936 is an abundant number, since it is smaller than the sum of its proper divisors (74754264).

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

42048936 is a wasteful number, since it uses less digits than its factorization.

42048936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194686 (or 194676 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42048936 is about 6484.5150936674. The cubic root of 42048936 is about 347.7376143441.

The spelling of 42048936 in words is "forty-two million, forty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 194671 389342 584013 778684 1168026 1557368 1752039 2336052 3504078 4672104 5256117 7008156 10512234 14016312 21024468 42048936