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42240096 = 253348889
BaseRepresentation
bin1010000100100…
…0100001100000
32221111000112000
42201020201200
541303140341
64105204000
71022014653
oct241104140
987430460
1042240096
1121930678
1212190600
13899c352
14587789a
153a958b6
hex2848860

42240096 has 48 divisors (see below), whose sum is σ = 123202800. Its totient is φ = 14079744.

The previous prime is 42240089. The next prime is 42240103. The reversal of 42240096 is 69004224.

It is an interprime number because it is at equal distance from previous prime (42240089) and next prime (42240103).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23581 + ... + 25308.

It is an arithmetic number, because the mean of its divisors is an integer number (2566725).

Almost surely, 242240096 is an apocalyptic number.

It is an amenable number.

42240096 is an abundant number, since it is smaller than the sum of its proper divisors (80962704).

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

42240096 is a wasteful number, since it uses less digits than its factorization.

42240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48908 (or 48894 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42240096 is about 6499.2381091940. The cubic root of 42240096 is about 348.2637714827.

The spelling of 42240096 in words is "forty-two million, two hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 48889 97778 146667 195556 293334 391112 440001 586668 782224 880002 1173336 1320003 1564448 1760004 2346672 2640006 3520008 4693344 5280012 7040016 10560024 14080032 21120048 42240096