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42830752 = 2517431831
BaseRepresentation
bin1010001101100…
…0101110100000
32222121000202011
42203120232200
541431041002
64130002304
71030024666
oct243305640
988530664
1042830752
11221a4418
1212416394
138b48153
14598cc36
153b608d7
hex28d8ba0

42830752 has 48 divisors (see below), whose sum is σ = 91409472. Its totient is φ = 19676160.

The previous prime is 42830717. The next prime is 42830789. The reversal of 42830752 is 25703824.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22477 + ... + 24307.

It is an arithmetic number, because the mean of its divisors is an integer number (1904364).

Almost surely, 242830752 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 42830752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45704736).

42830752 is an abundant number, since it is smaller than the sum of its proper divisors (48578720).

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

42830752 is a wasteful number, since it uses less digits than its factorization.

42830752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 42830752 is about 6544.5207616754. The cubic root of 42830752 is about 349.8795558357.

The spelling of 42830752 in words is "forty-two million, eight hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 544 688 731 1376 1462 1831 2924 3662 5848 7324 11696 14648 23392 29296 31127 58592 62254 78733 124508 157466 249016 314932 498032 629864 996064 1259728 1338461 2519456 2676922 5353844 10707688 21415376 42830752