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2929992240 = 243572733413
BaseRepresentation
bin1010111010100100…
…0010001000110000
321120012022000202010
42232221002020300
522000034222430
61202423522520
7132415344300
oct25651021060
97505260663
102929992240
1112739a459a
126992b9440
13379042326
141db1c1600
15122365cb0
hexaea42230

2929992240 has 240 divisors, whose sum is σ = 10713787488. Its totient is φ = 660344832.

The previous prime is 2929992161. The next prime is 2929992301. The reversal of 2929992240 is 422999292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2929992240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856774 + ... + 860186.

Almost surely, 22929992240 is an apocalyptic number.

2929992240 is a gapful number since it is divisible by the number (20) 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 2929992240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356893744).

2929992240 is an abundant number, since it is smaller than the sum of its proper divisors (7783795248).

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

2929992240 is a wasteful number, since it uses less digits than its factorization.

2929992240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 2929992240 is about 54129.4027308634. The cubic root of 2929992240 is about 1430.9424143026.

The spelling of 2929992240 in words is "two billion, nine hundred twenty-nine million, nine hundred ninety-two thousand, two hundred forty".