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2425632 = 253112297
BaseRepresentation
bin1001010000001100100000
311120020100020
421100030200
51110110012
6123553440
726421546
oct11201440
94506306
102425632
111407460
1298b880
1366c0b1
14471d96
1532da8c
hex250320

2425632 has 48 divisors (see below), whose sum is σ = 6949152. Its totient is φ = 734720.

The previous prime is 2425627. The next prime is 2425637. The reversal of 2425632 is 2365242.

It is an interprime number because it is at equal distance from previous prime (2425627) and next prime (2425637).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 215 + 48 + 217 + 57 + 64 + 39 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2425637) 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, 93 + ... + 2204.

It is an arithmetic number, because the mean of its divisors is an integer number (144774).

22425632 is an apocalyptic number.

2425632 is a gapful number since it is divisible by the number (22) 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 2425632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474576).

2425632 is an abundant number, since it is smaller than the sum of its proper divisors (4523520).

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

2425632 is a wasteful number, since it uses less digits than its factorization.

2425632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2313 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 2425632 is about 1557.4440599906. Note that the first 3 decimals coincide. The cubic root of 2425632 is about 134.3615394485.

The spelling of 2425632 in words is "two million, four hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2297 4594 6891 9188 13782 18376 25267 27564 36752 50534 55128 73504 75801 101068 110256 151602 202136 220512 303204 404272 606408 808544 1212816 2425632