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2487264 = 253131993
BaseRepresentation
bin1001011111001111100000
311200100212220
421133033200
51114043024
6125151040
730066333
oct11371740
94610786
102487264
11144979a
129bb480
13691170
1448a61a
15341e79
hex25f3e0

2487264 has 48 divisors (see below), whose sum is σ = 7034832. Its totient is φ = 764928.

The previous prime is 2487259. The next prime is 2487269. The reversal of 2487264 is 4627842.

It is an interprime number because it is at equal distance from previous prime (2487259) and next prime (2487269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2487269) 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, 252 + ... + 2244.

It is an arithmetic number, because the mean of its divisors is an integer number (146559).

22487264 is an apocalyptic number.

2487264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2487264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517416).

2487264 is an abundant number, since it is smaller than the sum of its proper divisors (4547568).

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

2487264 is a wasteful number, since it uses less digits than its factorization.

2487264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2011 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 2487264 is about 1577.1062107544. The cubic root of 2487264 is about 135.4900161941.

The spelling of 2487264 in words is "two million, four hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1993 3986 5979 7972 11958 15944 23916 25909 31888 47832 51818 63776 77727 95664 103636 155454 191328 207272 310908 414544 621816 829088 1243632 2487264