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42968968 = 2372373457
BaseRepresentation
bin1010001111101…
…0011110001000
32222212001100021
42203322132020
542000001333
64132550224
71031141650
oct243723610
988761307
1042968968
1122289249
1212482374
138b96033
1459c7360
153b8b82d
hex28fa788

42968968 has 64 divisors (see below), whose sum is σ = 97608960. Its totient is φ = 17335296.

The previous prime is 42968929. The next prime is 42968971. The reversal of 42968968 is 86986924.

42968968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 93796 + ... + 94252.

It is an arithmetic number, because the mean of its divisors is an integer number (1525140).

Almost surely, 242968968 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 42968968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48804480).

42968968 is an abundant number, since it is smaller than the sum of its proper divisors (54639992).

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

42968968 is a wasteful number, since it uses less digits than its factorization.

42968968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The square root of 42968968 is about 6555.0719294299. The cubic root of 42968968 is about 350.2555086651.

The spelling of 42968968 in words is "forty-two million, nine hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 73 92 146 161 184 292 322 457 511 584 644 914 1022 1288 1679 1828 2044 3199 3358 3656 4088 6398 6716 10511 11753 12796 13432 21022 23506 25592 33361 42044 47012 66722 73577 84088 94024 133444 147154 233527 266888 294308 467054 588616 767303 934108 1534606 1868216 3069212 5371121 6138424 10742242 21484484 42968968