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2425644 = 2232137173
BaseRepresentation
bin1001010000001100101100
311120020100200
421100030230
51110110034
6123553500
726421564
oct11201454
94506320
102425644
111407471
1298b890
1366c0c0
14471da4
1532da99
hex25032c

2425644 has 72 divisors (see below), whose sum is σ = 6787872. Its totient is φ = 725760.

The previous prime is 2425637. The next prime is 2425663. The reversal of 2425644 is 4465242.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33192 + ... + 33264.

It is an arithmetic number, because the mean of its divisors is an integer number (94276).

22425644 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 2425644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393936).

2425644 is an abundant number, since it is smaller than the sum of its proper divisors (4362228).

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

2425644 is a wasteful number, since it uses less digits than its factorization.

2425644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 162 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2425644 is about 1557.4479124516. The cubic root of 2425644 is about 134.3617610177.

It can be divided in two parts, 242 and 5644, that added together give a triangular number (5886 = T108).

The spelling of 2425644 in words is "two million, four hundred twenty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 73 78 117 142 146 156 213 219 234 284 292 426 438 468 639 657 852 876 923 949 1278 1314 1846 1898 2556 2628 2769 2847 3692 3796 5183 5538 5694 8307 8541 10366 11076 11388 15549 16614 17082 20732 31098 33228 34164 46647 62196 67379 93294 134758 186588 202137 269516 404274 606411 808548 1212822 2425644