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42915744 = 25355519
BaseRepresentation
bin1010001110110…
…1011110100000
32222202100100000
42203231132200
541441300434
64131500000
71030530534
oct243553640
988670300
1042915744
1122252263
1212457600
138b77a41
1459b1bc4
153b7ab99
hex28ed7a0

42915744 has 72 divisors (see below), whose sum is σ = 126584640. Its totient is φ = 14302656.

The previous prime is 42915727. The next prime is 42915767. The reversal of 42915744 is 44751924.

It is a happy number.

42915744 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 (72).

It is a super-2 number, since 2×429157442 = 3683522166147072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42915699 and 42915708.

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 11 ways as a sum of consecutive naturals, for example, 5017 + ... + 10535.

It is an arithmetic number, because the mean of its divisors is an integer number (1758120).

Almost surely, 242915744 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 42915744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63292320).

42915744 is an abundant number, since it is smaller than the sum of its proper divisors (83668896).

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

42915744 is an equidigital number, since it uses as much as digits as its factorization.

42915744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5524 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42915744 is about 6551.0109143551. The cubic root of 42915744 is about 350.1108329265.

It can be divided in two parts, 429157 and 44, that added together give a triangular number (429201 = T926).

The spelling of 42915744 in words is "forty-two million, nine hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 5519 7776 11038 16557 22076 33114 44152 49671 66228 88304 99342 132456 149013 176608 198684 264912 298026 397368 447039 529824 596052 794736 894078 1192104 1341117 1589472 1788156 2384208 2682234 3576312 4768416 5364468 7152624 10728936 14305248 21457872 42915744