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7902422640 = 2433572112477
BaseRepresentation
bin1110101110000010…
…10110011001110000
3202101201210122221000
413113001112121300
5112141010011030
63344052202000
7366554325030
oct72701263160
922351718830
107902422640
113395791102
121646609300
1398c26a238
1454d7478c0
15313b73860
hex1d7056670

7902422640 has 320 divisors, whose sum is σ = 31267998720. Its totient is φ = 1796981760.

The previous prime is 7902422603. The next prime is 7902422663. The reversal of 7902422640 is 462242097.

7902422640 is a `hidden beast` number, since 7 + 9 + 0 + 2 + 4 + 2 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7902422595 and 7902422604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3189082 + ... + 3191558.

It is an arithmetic number, because the mean of its divisors is an integer number (97712496).

Almost surely, 27902422640 is an apocalyptic number.

7902422640 is a gapful number since it is divisible by the number (70) 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 7902422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633999360).

7902422640 is an abundant number, since it is smaller than the sum of its proper divisors (23365576080).

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

7902422640 is a wasteful number, since it uses less digits than its factorization.

7902422640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7902422640 is about 88895.5715432439. The cubic root of 7902422640 is about 1991.8352672600.

The spelling of 7902422640 in words is "seven billion, nine hundred two million, four hundred twenty-two thousand, six hundred forty".