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42789792 = 253617307
BaseRepresentation
bin1010001100111…
…0101110100000
32222111221120010
42203032232200
541423233132
64125044520
71026464403
oct243165640
988457503
1042789792
1122176671
12123b6740
138b32606
14597bd3a
153b536cc
hex28ceba0

42789792 has 48 divisors (see below), whose sum is σ = 114180192. Its totient is φ = 14027520.

The previous prime is 42789781. The next prime is 42789793. The reversal of 42789792 is 29798724.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42789793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2203 + ... + 9509.

It is an arithmetic number, because the mean of its divisors is an integer number (2378754).

Almost surely, 242789792 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 42789792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57090096).

42789792 is an abundant number, since it is smaller than the sum of its proper divisors (71390400).

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

42789792 is a wasteful number, since it uses less digits than its factorization.

42789792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7381 (or 7373 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 42789792 is about 6541.3906778299. The cubic root of 42789792 is about 349.7679877315.

The spelling of 42789792 in words is "forty-two million, seven hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 7307 14614 21921 29228 43842 58456 87684 116912 175368 233824 350736 445727 701472 891454 1337181 1782908 2674362 3565816 5348724 7131632 10697448 14263264 21394896 42789792