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42107436 = 22327179829
BaseRepresentation
bin1010000010100…
…0001000101100
32221020021112200
42200220020230
541234414221
64102301500
71020623130
oct240501054
987207480
1042107436
112184aa38
1212127890
138953b57
1458413c0
153a6b426
hex282822c

42107436 has 72 divisors (see below), whose sum is σ = 128812320. Its totient is φ = 11321856.

The previous prime is 42107383. The next prime is 42107437. The reversal of 42107436 is 63470124.

It is not an unprimeable number, because it can be changed into a prime (42107437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631 + ... + 9198.

It is an arithmetic number, because the mean of its divisors is an integer number (1789060).

Almost surely, 242107436 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 42107436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64406160).

42107436 is an abundant number, since it is smaller than the sum of its proper divisors (86704884).

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

42107436 is a wasteful number, since it uses less digits than its factorization.

42107436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863 (or 9858 counting only the distinct ones).

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

The square root of 42107436 is about 6489.0242717993. The cubic root of 42107436 is about 347.8988013312.

The spelling of 42107436 in words is "forty-two million, one hundred seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 9829 19658 29487 39316 58974 68803 88461 117948 137606 167093 176922 206409 275212 334186 353844 412818 501279 619227 668372 825636 1002558 1169651 1238454 1503837 2005116 2339302 2476908 3007674 3508953 4678604 6015348 7017906 10526859 14035812 21053718 42107436