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2420925408 = 25351123183
BaseRepresentation
bin1001000001001100…
…0110001111100000
320020201101202100000
42100103012033200
514424224103113
61040120500000
7113664345366
oct22023061740
96221352300
102420925408
111032605100
1257691a600
132c7734355
1418d749636
15e280b373
hex904c63e0

2420925408 has 432 divisors, whose sum is σ = 8198281728. Its totient is φ = 701395200.

The previous prime is 2420925391. The next prime is 2420925427. The reversal of 2420925408 is 8045290242.

2420925408 is a `hidden beast` number, since 2 + 4 + 20 + 92 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29167735 + ... + 29167817.

It is an arithmetic number, because the mean of its divisors is an integer number (18977504).

Almost surely, 22420925408 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 2420925408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099140864).

2420925408 is an abundant number, since it is smaller than the sum of its proper divisors (5777356320).

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

2420925408 is a wasteful number, since it uses less digits than its factorization.

2420925408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2420925408 is about 49202.9004023137. The cubic root of 2420925408 is about 1342.7458006285.

The spelling of 2420925408 in words is "two billion, four hundred twenty million, nine hundred twenty-five thousand, four hundred eight".