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7904922480 = 243257131747151
BaseRepresentation
bin1110101110010101…
…11000101101110000
3202101220111200001200
413113022320231300
5112142130004410
63344221531200
7366614506140
oct72712705560
922356450050
107904922480
113397139294
121647413b00
1398c934030
1454dbd8920
15313eb93c0
hex1d72b8b70

7904922480 has 960 divisors, whose sum is σ = 35565723648. Its totient is φ = 1526169600.

The previous prime is 7904922449. The next prime is 7904922499. The reversal of 7904922480 is 842294097.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52350405 + ... + 52350555.

Almost surely, 27904922480 is an apocalyptic number.

7904922480 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 7904922480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17782861824).

7904922480 is an abundant number, since it is smaller than the sum of its proper divisors (27660801168).

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

7904922480 is a wasteful number, since it uses less digits than its factorization.

7904922480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7904922480 is about 88909.6309743776. The cubic root of 7904922480 is about 1992.0452764664.

The spelling of 7904922480 in words is "seven billion, nine hundred four million, nine hundred twenty-two thousand, four hundred eighty".