Search a number
-
+
42107492 = 2274143853
BaseRepresentation
bin1010000010100…
…0001001100100
32221020021121202
42200220021210
541234414432
64102302032
71020623240
oct240501144
987207552
1042107492
112184aa89
1212127918
138953b9b
145841420
153a6b462
hex2828264

42107492 has 48 divisors (see below), whose sum is σ = 88378752. Its totient is φ = 17176320.

The previous prime is 42107491. The next prime is 42107497. The reversal of 42107492 is 29470124.

It is not an unprimeable number, because it can be changed into a prime (42107491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48938 + ... + 49790.

It is an arithmetic number, because the mean of its divisors is an integer number (1841224).

Almost surely, 242107492 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 42107492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44189376).

42107492 is an abundant number, since it is smaller than the sum of its proper divisors (46271260).

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

42107492 is a wasteful number, since it uses less digits than its factorization.

42107492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 42107492 is about 6489.0285867763. The cubic root of 42107492 is about 347.8989555583.

The spelling of 42107492 in words is "forty-two million, one hundred seven thousand, four hundred ninety-two".

Divisors: 1 2 4 7 14 28 41 43 82 86 164 172 287 301 574 602 853 1148 1204 1706 1763 3412 3526 5971 7052 11942 12341 23884 24682 34973 36679 49364 69946 73358 139892 146716 244811 256753 489622 513506 979244 1027012 1503839 3007678 6015356 10526873 21053746 42107492