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42402012 = 22317347599
BaseRepresentation
bin1010000111000…
…0000011011100
32221210020121220
42201300003130
541323331022
64112453340
71023261012
oct241600334
987706556
1042402012
1121a31294
121224a250
138a27c63
1458ba8b2
153ac885c
hex28700dc

42402012 has 48 divisors (see below), whose sum is σ = 105235200. Its totient is φ = 13242112.

The previous prime is 42402001. The next prime is 42402023. The reversal of 42402012 is 21020424.

It is an interprime number because it is at equal distance from previous prime (42402001) and next prime (42402023).

It is a junction number, because it is equal to n+sod(n) for n = 42401982 and 42402000.

It is a congruent number.

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, 70489 + ... + 71087.

It is an arithmetic number, because the mean of its divisors is an integer number (2192400).

Almost surely, 242402012 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 42402012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52617600).

42402012 is an abundant number, since it is smaller than the sum of its proper divisors (62833188).

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

42402012 is a wasteful number, since it uses less digits than its factorization.

42402012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42402012 is about 6511.6827318290. The cubic root of 42402012 is about 348.7081958088.

Adding to 42402012 its reverse (21020424), we get a palindrome (63422436).

The spelling of 42402012 in words is "forty-two million, four hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 347 599 694 1041 1198 1388 1797 2082 2396 3594 4164 5899 7188 10183 11798 17697 20366 23596 30549 35394 40732 61098 70788 122196 207853 415706 623559 831412 1247118 2494236 3533501 7067002 10600503 14134004 21201006 42402012