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42949344 = 2531726317
BaseRepresentation
bin1010001111010…
…1101011100000
32222211001102110
42203311223200
541443334334
64132315320
71031030514
oct243655340
988731373
1042949344
1122275529
1212472b40
138b8a119
1459c0144
153b85ae9
hex28f5ae0

42949344 has 48 divisors (see below), whose sum is σ = 119378448. Its totient is φ = 13473792.

The previous prime is 42949339. The next prime is 42949393. The reversal of 42949344 is 44394924.

It is a happy number.

42949344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11527 + ... + 14790.

It is an arithmetic number, because the mean of its divisors is an integer number (2487051).

Almost surely, 242949344 is an apocalyptic number.

It is an amenable number.

42949344 is an abundant number, since it is smaller than the sum of its proper divisors (76429104).

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

42949344 is a wasteful number, since it uses less digits than its factorization.

42949344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26347 (or 26339 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 42949344 is about 6553.5749022957. The cubic root of 42949344 is about 350.2021797857.

The spelling of 42949344 in words is "forty-two million, nine hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 26317 52634 78951 105268 157902 210536 315804 421072 447389 631608 842144 894778 1263216 1342167 1789556 2526432 2684334 3579112 5368668 7158224 10737336 14316448 21474672 42949344