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42407136 = 2532229643
BaseRepresentation
bin1010000111000…
…1010011100000
32221210111122200
42201301103200
541324012021
64112533200
71023311652
oct241612340
987714580
1042407136
1121a35122
1212251200
138a2a3a5
1458bc6d2
153aca126
hex28714e0

42407136 has 72 divisors (see below), whose sum is σ = 121310280. Its totient is φ = 14052096.

The previous prime is 42407119. The next prime is 42407137. The reversal of 42407136 is 63170424.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42407137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65631 + ... + 66273.

It is an arithmetic number, because the mean of its divisors is an integer number (1684865).

Almost surely, 242407136 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 42407136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60655140).

42407136 is an abundant number, since it is smaller than the sum of its proper divisors (78903144).

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

42407136 is a wasteful number, since it uses less digits than its factorization.

42407136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42407136 is about 6512.0761666307. The cubic root of 42407136 is about 348.7222415953.

The spelling of 42407136 in words is "forty-two million, four hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 643 687 916 1286 1374 1832 1929 2061 2572 2748 3664 3858 4122 5144 5496 5787 7328 7716 8244 10288 10992 11574 15432 16488 20576 21984 23148 30864 32976 46296 61728 65952 92592 147247 185184 294494 441741 588988 883482 1177976 1325223 1766964 2355952 2650446 3533928 4711904 5300892 7067856 10601784 14135712 21203568 42407136