Search a number
-
+
42692496 = 24371111551
BaseRepresentation
bin1010001011011…
…0111110010000
32222100000002120
42202312332100
541412124441
64123014240
71025610630
oct242667620
988300076
1042692496
112210a560
121236a380
138aca242
1459546c0
153b34966
hex28b6f90

42692496 has 80 divisors (see below), whose sum is σ = 137515008. Its totient is φ = 11088000.

The previous prime is 42692477. The next prime is 42692509. The reversal of 42692496 is 69429624.

42692496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2080 + ... + 9471.

Almost surely, 242692496 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 42692496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68757504).

42692496 is an abundant number, since it is smaller than the sum of its proper divisors (94822512).

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

42692496 is a wasteful number, since it uses less digits than its factorization.

42692496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580 (or 11574 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 42692496 is about 6533.9494947543. The cubic root of 42692496 is about 349.5026841736.

The spelling of 42692496 in words is "forty-two million, six hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 11551 23102 34653 46204 69306 80857 92408 127061 138612 161714 184816 242571 254122 277224 323428 381183 485142 508244 554448 646856 762366 889427 970284 1016488 1293712 1524732 1778854 1940568 2032976 2668281 3049464 3557708 3881136 5336562 6098928 7115416 10673124 14230832 21346248 42692496