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42048504 = 2333533673
BaseRepresentation
bin1010000001100…
…1101111111000
32221010021201000
42200121233320
541231023004
64101125000
71020256251
oct240315770
987107630
1042048504
112180a733
12120b9760
138933094
145827b28
153a58c39
hex2819bf8

42048504 has 64 divisors (see below), whose sum is σ = 119037600. Its totient is φ = 13747968.

The previous prime is 42048499. The next prime is 42048509. The reversal of 42048504 is 40584024.

42048504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42048499) and next prime (42048509).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42048509) by changing a digit.

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, 9612 + ... + 13284.

Almost surely, 242048504 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 42048504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59518800).

42048504 is an abundant number, since it is smaller than the sum of its proper divisors (76989096).

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

42048504 is a wasteful number, since it uses less digits than its factorization.

42048504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42048504 is about 6484.4817834581. The cubic root of 42048504 is about 347.7364234843.

The spelling of 42048504 in words is "forty-two million, forty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3673 3816 5724 7346 11019 11448 14692 22038 29384 33057 44076 66114 88152 99171 132228 194669 198342 264456 389338 396684 584007 778676 793368 1168014 1557352 1752021 2336028 3504042 4672056 5256063 7008084 10512126 14016168 21024252 42048504