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42746464 = 252973631
BaseRepresentation
bin1010001100010…
…0001001100000
32222102202010101
42203010021200
541420341324
64124112144
71026224155
oct243041140
988382111
1042746464
1122147062
1212395654
138b18987
14596a22c
153b45944
hex28c4260

42746464 has 48 divisors (see below), whose sum is σ = 88391520. Its totient is φ = 20321280.

The previous prime is 42746441. The next prime is 42746467. The reversal of 42746464 is 46464724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42746467) 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, 67429 + ... + 68059.

It is an arithmetic number, because the mean of its divisors is an integer number (1841490).

Almost surely, 242746464 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 42746464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44195760).

42746464 is an abundant number, since it is smaller than the sum of its proper divisors (45645056).

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

42746464 is a wasteful number, since it uses less digits than its factorization.

42746464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 735 counting only the distinct ones).

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

The square root of 42746464 is about 6538.0780050409. The cubic root of 42746464 is about 349.6498920778.

The spelling of 42746464 in words is "forty-two million, seven hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 73 116 146 232 292 464 584 631 928 1168 1262 2117 2336 2524 4234 5048 8468 10096 16936 18299 20192 33872 36598 46063 67744 73196 92126 146392 184252 292784 368504 585568 737008 1335827 1474016 2671654 5343308 10686616 21373232 42746464