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58725000 = 23345529
BaseRepresentation
bin1110000000000…
…1001010001000
311002111112120000
43200001022020
5110013200000
65454403000
71312103625
oct340011210
9132445500
1058725000
113016aa64
1217800460
13c221829
147b2934c
155250000
hex3801288

58725000 has 240 divisors, whose sum is σ = 212681700. Its totient is φ = 15120000.

The previous prime is 58724999. The next prime is 58725013. The reversal of 58725000 is 52785.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6625476 + 52099524 = 2574^2 + 7218^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2024986 + ... + 2025014.

Almost surely, 258725000 is an apocalyptic number.

58725000 is a gapful number since it is divisible by the number (50) 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 58725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106340850).

58725000 is an abundant number, since it is smaller than the sum of its proper divisors (153956700).

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

58725000 is an equidigital number, since it uses as much as digits as its factorization.

58725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 58725000 is about 7663.2238646669. The cubic root of 58725000 is about 388.6938553409.

Adding to 58725000 its reverse (52785), we get a palindrome (58777785).

The spelling of 58725000 in words is "fifty-eight million, seven hundred twenty-five thousand".