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239640416 = 2531376529
BaseRepresentation
bin11100100100010…
…01111101100000
3121200220222211222
432102021331200
5442321443131
635440154212
75636624051
oct1622117540
9550828758
10239640416
111132a8434
1268308968
133a856282
1423b80728
151608987b
hexe489f60

239640416 has 48 divisors (see below), whose sum is σ = 500250240. Its totient is φ = 112803840.

The previous prime is 239640413. The next prime is 239640431. The reversal of 239640416 is 614046932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239640413) 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 7 ways as a sum of consecutive naturals, for example, 33440 + ... + 39968.

It is an arithmetic number, because the mean of its divisors is an integer number (10421880).

Almost surely, 2239640416 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 239640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250125120).

239640416 is an abundant number, since it is smaller than the sum of its proper divisors (260609824).

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

239640416 is a wasteful number, since it uses less digits than its factorization.

239640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 239640416 is about 15480.3235108314. The cubic root of 239640416 is about 621.1359818662.

The spelling of 239640416 in words is "two hundred thirty-nine million, six hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 496 592 992 1147 1184 2294 4588 6529 9176 13058 18352 26116 36704 52232 104464 202399 208928 241573 404798 483146 809596 966292 1619192 1932584 3238384 3865168 6476768 7488763 7730336 14977526 29955052 59910104 119820208 239640416