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42674464 = 257593229
BaseRepresentation
bin1010001011001…
…0100100100000
32222022002100201
42202302210200
541411040324
64122354544
71025504230
oct242624440
988262321
1042674464
11220a7a58
121235ba54
138ac1c81
14594bcc0
153b2e444
hex28b2920

42674464 has 48 divisors (see below), whose sum is σ = 97675200. Its totient is φ = 17973504.

The previous prime is 42674461. The next prime is 42674473. The reversal of 42674464 is 46447624.

It is a super-2 number, since 2×426744642 = 3642219755374592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42674461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11602 + ... + 14830.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 242674464 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 42674464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48837600).

42674464 is an abundant number, since it is smaller than the sum of its proper divisors (55000736).

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

42674464 is a wasteful number, since it uses less digits than its factorization.

42674464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3297 counting only the distinct ones).

The product of its digits is 129024, while the sum is 37.

The square root of 42674464 is about 6532.5694791560. The cubic root of 42674464 is about 349.4534708420.

The spelling of 42674464 in words is "forty-two million, six hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3229 3304 6458 6608 12916 13216 22603 25832 45206 51664 90412 103328 180824 190511 361648 381022 723296 762044 1333577 1524088 2667154 3048176 5334308 6096352 10668616 21337232 42674464