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2930952024 = 23327112133697
BaseRepresentation
bin1010111010110010…
…1100011101011000
321120021002210022200
42232230230131120
522000310431044
61202500250200
7132426452430
oct25654543530
97507083280
102930952024
11127449a700
126996a0960
133792ba150
141db3912c0
151224a5369
hexaeb2c758

2930952024 has 288 divisors, whose sum is σ = 10741654560. Its totient is φ = 702535680.

The previous prime is 2930951999. The next prime is 2930952029. The reversal of 2930952024 is 4202590392.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2930952024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930952029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 790944 + ... + 794640.

Almost surely, 22930952024 is an apocalyptic number.

2930952024 is a gapful number since it is divisible by the number (24) 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 2930952024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370827280).

2930952024 is an abundant number, since it is smaller than the sum of its proper divisors (7810702536).

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

2930952024 is a wasteful number, since it uses less digits than its factorization.

2930952024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2930952024 is about 54138.2676486790. The cubic root of 2930952024 is about 1431.0986428960.

The spelling of 2930952024 in words is "two billion, nine hundred thirty million, nine hundred fifty-two thousand, twenty-four".