Search a number
-
+
42499674 = 2337293877
BaseRepresentation
bin1010001000011…
…1111001011010
32221222012121000
42202013321122
541334442144
64114525430
71024145520
oct242077132
987865530
1042499674
1121a986a8
1212296876
138a60549
145904310
153ae7769
hex2887e5a

42499674 has 64 divisors (see below), whose sum is σ = 111686400. Its totient is φ = 11721024.

The previous prime is 42499631. The next prime is 42499687. The reversal of 42499674 is 47699424.

42499674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 9024 + ... + 12900.

It is an arithmetic number, because the mean of its divisors is an integer number (1745100).

Almost surely, 242499674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42499674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55843200).

42499674 is an abundant number, since it is smaller than the sum of its proper divisors (69186726).

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

42499674 is a wasteful number, since it uses less digits than its factorization.

42499674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3918 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 42499674 is about 6519.1774020961. The cubic root of 42499674 is about 348.9757100579.

The spelling of 42499674 in words is "forty-two million, four hundred ninety-nine thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1218 1566 1827 3654 3877 5481 7754 10962 11631 23262 27139 34893 54278 69786 81417 104679 112433 162834 209358 224866 244251 337299 488502 674598 732753 787031 1011897 1465506 1574062 2023794 2361093 3035691 4722186 6071382 7083279 14166558 21249837 42499674