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42920442 = 234307863
BaseRepresentation
bin1010001110111…
…0100111111010
32222202120210000
42203232213322
541441423232
64131533430
71030550325
oct243564772
988676700
1042920442
1122255844
121245a276
138b79c16
1459b37bc
153b7c27c
hex28ee9fa

42920442 has 40 divisors (see below), whose sum is σ = 96598656. Its totient is φ = 14243688.

The previous prime is 42920431. The next prime is 42920443. The reversal of 42920442 is 24402924.

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

It is not an unprimeable number, because it can be changed into a prime (42920443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49303 + ... + 50165.

Almost surely, 242920442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42920442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48299328).

42920442 is an abundant number, since it is smaller than the sum of its proper divisors (53678214).

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

42920442 is a wasteful number, since it uses less digits than its factorization.

42920442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42920442 is about 6551.3694751556. The cubic root of 42920442 is about 350.1236080414.

The spelling of 42920442 in words is "forty-two million, nine hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 307 614 863 921 1726 1842 2589 2763 5178 5526 7767 8289 15534 16578 23301 24867 46602 49734 69903 139806 264941 529882 794823 1589646 2384469 4768938 7153407 14306814 21460221 42920442