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42384732 = 22313972801
BaseRepresentation
bin1010000110101…
…1110101011100
32221202100220220
42201223311130
541322302412
64112241340
71023156435
oct241536534
987670826
1042384732
1121a1a305
1212240250
138a20130
1458b448c
153ac368c
hex286bd5c

42384732 has 48 divisors (see below), whose sum is σ = 107641632. Its totient is φ = 12902400.

The previous prime is 42384731. The next prime is 42384743. The reversal of 42384732 is 23748324.

It is a junction number, because it is equal to n+sod(n) for n = 42384693 and 42384702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42384731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13732 + ... + 16532.

It is an arithmetic number, because the mean of its divisors is an integer number (2242534).

Almost surely, 242384732 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 42384732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53820816).

42384732 is an abundant number, since it is smaller than the sum of its proper divisors (65256900).

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

42384732 is a wasteful number, since it uses less digits than its factorization.

42384732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2916 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 42384732 is about 6510.3557506483. The cubic root of 42384732 is about 348.6608199409.

The spelling of 42384732 in words is "forty-two million, three hundred eighty-four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 582 1164 1261 2522 2801 3783 5044 5602 7566 8403 11204 15132 16806 33612 36413 72826 109239 145652 218478 271697 436956 543394 815091 1086788 1630182 3260364 3532061 7064122 10596183 14128244 21192366 42384732