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42914352 = 2431397709
BaseRepresentation
bin1010001110110…
…1001000110000
32222202021102110
42203231020300
541441224402
64131445320
71030523505
oct243551060
988667373
1042914352
1122251208
1212456840
138b77210
1459b14ac
153b7a56c
hex28ed230

42914352 has 80 divisors (see below), whose sum is σ = 120790880. Its totient is φ = 13049856.

The previous prime is 42914303. The next prime is 42914357. The reversal of 42914352 is 25341924.

It is not an unprimeable number, because it can be changed into a prime (42914357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60174 + ... + 60882.

It is an arithmetic number, because the mean of its divisors is an integer number (1509886).

Almost surely, 242914352 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 42914352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60395440).

42914352 is an abundant number, since it is smaller than the sum of its proper divisors (77876528).

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

42914352 is a wasteful number, since it uses less digits than its factorization.

42914352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 42914352 is about 6550.9046703490. The cubic root of 42914352 is about 350.1070475283.

The spelling of 42914352 in words is "forty-two million, nine hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 624 709 776 1164 1261 1418 1552 2127 2328 2522 2836 3783 4254 4656 5044 5672 7566 8508 9217 10088 11344 15132 17016 18434 20176 27651 30264 34032 36868 55302 60528 68773 73736 110604 137546 147472 206319 221208 275092 412638 442416 550184 825276 894049 1100368 1650552 1788098 2682147 3301104 3576196 5364294 7152392 10728588 14304784 21457176 42914352