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4295980962 = 23771343251
BaseRepresentation
bin1000000000000111…
…10111011110100010
3102002101122110000000
410000003313132202
532244232342322
61550141440430
7211313143560
oct40003673642
912071573000
104295980962
111904a73099
129ba870116
13536043090
142ca79ca30
151a223d3ac
hex1000f77a2

4295980962 has 256 divisors, whose sum is σ = 12219863040. Its totient is φ = 1102248000.

The previous prime is 4295980951. The next prime is 4295980999. The reversal of 4295980962 is 2690895924.

It is a happy number.

4295980962 is a `hidden beast` number, since 42 + 9 + 598 + 0 + 9 + 6 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4295980899 and 4295980908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17115337 + ... + 17115587.

It is an arithmetic number, because the mean of its divisors is an integer number (47733840).

Almost surely, 24295980962 is an apocalyptic number.

4295980962 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4295980962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109931520).

4295980962 is an abundant number, since it is smaller than the sum of its proper divisors (7923882078).

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

4295980962 is a wasteful number, since it uses less digits than its factorization.

4295980962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4295980962 is about 65543.7332015808. The cubic root of 4295980962 is about 1625.6265464958.

The spelling of 4295980962 in words is "four billion, two hundred ninety-five million, nine hundred eighty thousand, nine hundred sixty-two".