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2450925216 = 25351953313
BaseRepresentation
bin1001001000010110…
…0010011010100000
320022210211220100000
42102011202122200
520004414101331
61043111500000
7114510343365
oct22205423240
96283756300
102450925216
111048535433
12584987600
13300a0920c
1419371846c
15e52850e6
hex921626a0

2450925216 has 288 divisors, whose sum is σ = 7776699840. Its totient is φ = 756946944.

The previous prime is 2450925181. The next prime is 2450925229. The reversal of 2450925216 is 6125290542.

2450925216 is a `hidden beast` number, since 2 + 45 + 0 + 92 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7830276 + ... + 7830588.

It is an arithmetic number, because the mean of its divisors is an integer number (27002430).

Almost surely, 22450925216 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 2450925216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888349920).

2450925216 is an abundant number, since it is smaller than the sum of its proper divisors (5325774624).

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

2450925216 is a wasteful number, since it uses less digits than its factorization.

2450925216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 390 counting only the distinct ones).

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

The square root of 2450925216 is about 49506.8198938288. The cubic root of 2450925216 is about 1348.2694269605.

The spelling of 2450925216 in words is "two billion, four hundred fifty million, nine hundred twenty-five thousand, two hundred sixteen".