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42331392 = 283219967
BaseRepresentation
bin1010000101111…
…0110100000000
32221122122202100
42201132310000
541314101032
64111150400
71022545065
oct241366400
987578670
1042331392
1121993224
1212215400
138a01a7c
14589cc6c
153ab297c
hex285ed00

42331392 has 108 divisors (see below), whose sum is σ = 128608480. Its totient is φ = 13353984.

The previous prime is 42331391. The next prime is 42331427. The reversal of 42331392 is 29313324.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43293 + ... + 44259.

Almost surely, 242331392 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 42331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64304240).

42331392 is an abundant number, since it is smaller than the sum of its proper divisors (86277088).

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

42331392 is a wasteful number, since it uses less digits than its factorization.

42331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 991 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 42331392 is about 6506.2579106580. The cubic root of 42331392 is about 348.5144985793.

It can be divided in two parts, 4233 and 1392, that added together give a square (5625 = 752).

The spelling of 42331392 in words is "forty-two million, three hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 967 1152 1216 1368 1824 1934 2304 2432 2736 2901 3648 3868 4864 5472 5802 7296 7736 8703 10944 11604 14592 15472 17406 18373 21888 23208 30944 34812 36746 43776 46416 55119 61888 69624 73492 92832 110238 123776 139248 146984 165357 185664 220476 247552 278496 293968 330714 371328 440952 556992 587936 661428 742656 881904 1113984 1175872 1322856 1763808 2227968 2351744 2645712 3527616 4703488 5291424 7055232 10582848 14110464 21165696 42331392