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42392430 = 2335197797
BaseRepresentation
bin1010000110110…
…1101101101110
32221202202111000
42201231231232
541323024210
64112341130
71023221043
oct241555556
987682430
1042392430
1121a25073
12122447a6
138a237a2
1458b71ca
153ac5ac0
hex286db6e

42392430 has 64 divisors (see below), whose sum is σ = 113762880. Its totient is φ = 11233152.

The previous prime is 42392429. The next prime is 42392447. The reversal of 42392430 is 3429324.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 42392394 and 42392403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52792 + ... + 53588.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 242392430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42392430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56881440).

42392430 is an abundant number, since it is smaller than the sum of its proper divisors (71370450).

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

42392430 is a wasteful number, since it uses less digits than its factorization.

42392430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42392430 is about 6510.9469357383. The cubic root of 42392430 is about 348.6819268222.

The spelling of 42392430 in words is "forty-two million, three hundred ninety-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 197 270 394 591 797 985 1182 1594 1773 1970 2391 2955 3546 3985 4782 5319 5910 7173 7970 8865 10638 11955 14346 17730 21519 23910 26595 35865 43038 53190 71730 107595 157009 215190 314018 471027 785045 942054 1413081 1570090 2355135 2826162 4239243 4710270 7065405 8478486 14130810 21196215 42392430