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42664740 = 2235799001
BaseRepresentation
bin1010001011000…
…0001100100100
32222021121000120
42202300030210
541410232430
64122241540
71025433666
oct242601444
988247016
1042664740
11220a0718
12123562b0
138aba711
145948536
153b2b610
hex28b0324

42664740 has 48 divisors (see below), whose sum is σ = 120986880. Its totient is φ = 11232000.

The previous prime is 42664733. The next prime is 42664753. The reversal of 42664740 is 4746624.

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, 240 + ... + 9240.

It is an arithmetic number, because the mean of its divisors is an integer number (2520560).

Almost surely, 242664740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42664740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60493440).

42664740 is an abundant number, since it is smaller than the sum of its proper divisors (78322140).

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

42664740 is a wasteful number, since it uses less digits than its factorization.

42664740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 42664740 is about 6531.8251660619. The cubic root of 42664740 is about 349.4269261330.

The spelling of 42664740 in words is "forty-two million, six hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 9001 18002 27003 36004 45005 54006 90010 108012 135015 180020 270030 540060 711079 1422158 2133237 2844316 3555395 4266474 7110790 8532948 10666185 14221580 21332370 42664740