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42406752 = 253441737
BaseRepresentation
bin1010000111000…
…1001101100000
32221210111010110
42201301031200
541324004002
64112531320
71023310563
oct241611540
987714113
1042406752
1121a34903
1212250b40
138a2a16b
1458bc4da
153ac9e6c
hex2871360

42406752 has 24 divisors (see below), whose sum is σ = 111317976. Its totient is φ = 14135552.

The previous prime is 42406747. The next prime is 42406757. The reversal of 42406752 is 25760424.

It is an interprime number because it is at equal distance from previous prime (42406747) and next prime (42406757).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42406757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220773 + ... + 220964.

It is an arithmetic number, because the mean of its divisors is an integer number (4638249).

Almost surely, 242406752 is an apocalyptic number.

It is an amenable number.

42406752 is an abundant number, since it is smaller than the sum of its proper divisors (68911224).

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

42406752 is a wasteful number, since it uses less digits than its factorization.

42406752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441750 (or 441742 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42406752 is about 6512.0466828794. The cubic root of 42406752 is about 348.7211890229.

The spelling of 42406752 in words is "forty-two million, four hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 441737 883474 1325211 1766948 2650422 3533896 5300844 7067792 10601688 14135584 21203376 42406752