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2482464 = 253191361
BaseRepresentation
bin1001011110000100100000
311200010022010
421132010200
51113414324
6125112520
730046335
oct11360440
94603263
102482464
111446126
129b8740
1368bc1a
1448898c
15340829
hex25e120

2482464 has 48 divisors (see below), whose sum is σ = 6864480. Its totient is φ = 783360.

The previous prime is 2482463. The next prime is 2482481. The reversal of 2482464 is 4642842.

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

It is a super-2 number, since 2×24824642 = 12325255022592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 23 + 42 + 8 + 219 + 47 + 68 + 49 .

It is not an unprimeable number, because it can be changed into a prime (2482463) 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, 1144 + ... + 2504.

It is an arithmetic number, because the mean of its divisors is an integer number (143010).

22482464 is an apocalyptic number.

2482464 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 2482464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432240).

2482464 is an abundant number, since it is smaller than the sum of its proper divisors (4382016).

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

2482464 is a wasteful number, since it uses less digits than its factorization.

2482464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1385 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 2482464 is about 1575.5837013628. The cubic root of 2482464 is about 135.4028024412.

The spelling of 2482464 in words is "two million, four hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1361 1824 2722 4083 5444 8166 10888 16332 21776 25859 32664 43552 51718 65328 77577 103436 130656 155154 206872 310308 413744 620616 827488 1241232 2482464