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42830352 = 24322831051
BaseRepresentation
bin1010001101100…
…0101000010000
32222121000012100
42203120220100
541431032402
64130000400
71030023555
oct243305020
988530170
1042830352
11221a4094
1212416100
138b47c06
14598ca2c
153b6071c
hex28d8a10

42830352 has 60 divisors (see below), whose sum is σ = 120403504. Its totient is φ = 14212800.

The previous prime is 42830329. The next prime is 42830371. The reversal of 42830352 is 25303824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40227 + ... + 41277.

Almost surely, 242830352 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 42830352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60201752).

42830352 is an abundant number, since it is smaller than the sum of its proper divisors (77573152).

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

42830352 is a wasteful number, since it uses less digits than its factorization.

42830352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42830352 is about 6544.4902016887. The cubic root of 42830352 is about 349.8784666474.

The spelling of 42830352 in words is "forty-two million, eight hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 566 849 1051 1132 1698 2102 2264 2547 3153 3396 4204 4528 5094 6306 6792 8408 9459 10188 12612 13584 16816 18918 20376 25224 37836 40752 50448 75672 151344 297433 594866 892299 1189732 1784598 2379464 2676897 3569196 4758928 5353794 7138392 10707588 14276784 21415176 42830352