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2425240064 = 29131991831
BaseRepresentation
bin1001000010001110…
…0011101000000000
320021000111221221002
42100203203220000
514431330140224
61040353151132
7114046125512
oct22043435000
96230457832
102425240064
111034a91835
1257825b4a8
132c85b51c0
1419014dbb2
15e2dae9ae
hex908e3a00

2425240064 has 80 divisors (see below), whose sum is σ = 5247580800. Its totient is φ = 1113108480.

The previous prime is 2425240057. The next prime is 2425240093. The reversal of 2425240064 is 4600425242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1323629 + ... + 1325459.

It is an arithmetic number, because the mean of its divisors is an integer number (65594760).

Almost surely, 22425240064 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 2425240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623790400).

2425240064 is an abundant number, since it is smaller than the sum of its proper divisors (2822340736).

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

2425240064 is a wasteful number, since it uses less digits than its factorization.

2425240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 2425240064 is about 49246.7264292765. The cubic root of 2425240064 is about 1343.5430230221.

The spelling of 2425240064 in words is "two billion, four hundred twenty-five million, two hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 199 208 256 398 416 512 796 832 1592 1664 1831 2587 3184 3328 3662 5174 6368 6656 7324 10348 12736 14648 20696 23803 25472 29296 41392 47606 50944 58592 82784 95212 101888 117184 165568 190424 234368 331136 364369 380848 468736 662272 728738 761696 937472 1324544 1457476 1523392 2914952 3046784 4736797 5829904 6093568 9473594 11659808 12187136 18947188 23319616 37894376 46639232 75788752 93278464 151577504 186556928 303155008 606310016 1212620032 2425240064