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2426440032 = 253222936791
BaseRepresentation
bin1001000010100000…
…1000100101100000
320021002202220222100
42100220020211200
514432132040112
61040435010400
7114062254122
oct22050104540
96232686870
102426440032
111035731345
12578739a00
132c8915443
14190383212
15e304a2dc
hex90a08960

2426440032 has 72 divisors (see below), whose sum is σ = 6930509040. Its totient is φ = 805259520.

The previous prime is 2426440013. The next prime is 2426440061. The reversal of 2426440032 is 2300446242.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×24264400322 = 11775222457784322048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2426439978 and 2426440005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47557 + ... + 84347.

It is an arithmetic number, because the mean of its divisors is an integer number (96257070).

Almost surely, 22426440032 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 2426440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465254520).

2426440032 is an abundant number, since it is smaller than the sum of its proper divisors (4504069008).

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

2426440032 is a wasteful number, since it uses less digits than its factorization.

2426440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37036 (or 37025 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2426440032 is about 49258.9081486791. The cubic root of 2426440032 is about 1343.7645739844.

Adding to 2426440032 its reverse (2300446242), we get a palindrome (4726886274).

The spelling of 2426440032 in words is "two billion, four hundred twenty-six million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 687 916 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 16488 21984 32976 36791 65952 73582 110373 147164 220746 294328 331119 441492 588656 662238 882984 1177312 1324476 1765968 2648952 3531936 5297904 8425139 10595808 16850278 25275417 33700556 50550834 67401112 75826251 101101668 134802224 151652502 202203336 269604448 303305004 404406672 606610008 808813344 1213220016 2426440032