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625236480 = 29325112467
BaseRepresentation
bin100101010001000…
…101101000000000
31121120111022012200
4211101011220000
52240030031410
6142012553200
721331264611
oct4521055000
91546438180
10625236480
112a0a25470
12155482800
139c6c361b
145d075c08
1539d553c0
hex25445a00

625236480 has 240 divisors, whose sum is σ = 2363179104. Its totient is φ = 151511040.

The previous prime is 625236457. The next prime is 625236487. The reversal of 625236480 is 84632526.

625236480 is a `hidden beast` number, since 6 + 2 + 5 + 2 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (625236487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252207 + ... + 254673.

Almost surely, 2625236480 is an apocalyptic number.

625236480 is a gapful number since it is divisible by the number (60) 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 625236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181589552).

625236480 is an abundant number, since it is smaller than the sum of its proper divisors (1737942624).

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

625236480 is a wasteful number, since it uses less digits than its factorization.

625236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 625236480 is about 25004.7291527023. The cubic root of 625236480 is about 855.0957931041.

The spelling of 625236480 in words is "six hundred twenty-five million, two hundred thirty-six thousand, four hundred eighty".