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42844352 = 261753743
BaseRepresentation
bin1010001101110…
…0000011000000
32222121201101212
42203130003000
541432004402
64130145252
71030112435
oct243340300
988551355
1042844352
1122203661
1212422228
138b513b5
145993b8c
153b64952
hex28dc0c0

42844352 has 56 divisors (see below), whose sum is σ = 91842336. Its totient is φ = 19755008.

The previous prime is 42844349. The next prime is 42844363. The reversal of 42844352 is 25344824.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57293 + ... + 58035.

Almost surely, 242844352 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 42844352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45921168).

42844352 is an abundant number, since it is smaller than the sum of its proper divisors (48997984).

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

42844352 is a wasteful number, since it uses less digits than its factorization.

42844352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 42844352 is about 6545.5597163268. The cubic root of 42844352 is about 349.9165842027.

The spelling of 42844352 in words is "forty-two million, eight hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 136 212 272 424 544 743 848 901 1088 1486 1696 1802 2972 3392 3604 5944 7208 11888 12631 14416 23776 25262 28832 39379 47552 50524 57664 78758 101048 157516 202096 315032 404192 630064 669443 808384 1260128 1338886 2520256 2677772 5355544 10711088 21422176 42844352