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42665448 = 23372291109
BaseRepresentation
bin1010001011000…
…0010111101000
32222021121222210
42202300113220
541410243243
64122245120
71025436030
oct242602750
988247883
1042665448
11220a1201
12123567a0
138abab37
1459488c0
153b2b933
hex28b05e8

42665448 has 64 divisors (see below), whose sum is σ = 122544000. Its totient is φ = 12125952.

The previous prime is 42665429. The next prime is 42665471. The reversal of 42665448 is 84456624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37918 + ... + 39026.

It is an arithmetic number, because the mean of its divisors is an integer number (1914750).

Almost surely, 242665448 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 42665448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61272000).

42665448 is an abundant number, since it is smaller than the sum of its proper divisors (79878552).

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

42665448 is a wasteful number, since it uses less digits than its factorization.

42665448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 42665448 is about 6531.8793620213. The cubic root of 42665448 is about 349.4288589772.

The spelling of 42665448 in words is "forty-two million, six hundred sixty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 916 1109 1374 1603 1832 2218 2748 3206 3327 4436 4809 5496 6412 6654 7763 8872 9618 12824 13308 15526 19236 23289 26616 31052 38472 46578 62104 93156 186312 253961 507922 761883 1015844 1523766 1777727 2031688 3047532 3555454 5333181 6095064 7110908 10666362 14221816 21332724 42665448