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1625650416 = 24321331109257
BaseRepresentation
bin110000011100101…
…0111010011110000
311012021221121010200
41200321113103300
511312131303131
6425151155200
755166541405
oct14071272360
94167847120
101625650416
11764701245
12394515b00
131cba47030
14115c902ac
1597ab92e6
hex60e574f0

1625650416 has 240 divisors, whose sum is σ = 5123838720. Its totient is φ = 477757440.

The previous prime is 1625650409. The next prime is 1625650417. The reversal of 1625650416 is 6140565261.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1625650417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6325360 + ... + 6325616.

It is an arithmetic number, because the mean of its divisors is an integer number (21349328).

Almost surely, 21625650416 is an apocalyptic number.

1625650416 is a gapful number since it is divisible by the number (16) 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 1625650416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561919360).

1625650416 is an abundant number, since it is smaller than the sum of its proper divisors (3498188304).

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

1625650416 is a wasteful number, since it uses less digits than its factorization.

1625650416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1625650416 is about 40319.3553519894. The cubic root of 1625650416 is about 1175.8241789070.

The spelling of 1625650416 in words is "one billion, six hundred twenty-five million, six hundred fifty thousand, four hundred sixteen".