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2048940432 = 24327112107157
BaseRepresentation
bin111101000100000…
…0101100110010000
312021210102221212200
41322020011212100
513144012043212
6535151523200
7101526464160
oct17210054620
95253387780
102048940432
11961634300
12492229500
132686513b6
141561985a0
15bed2d6dc
hex7a205990

2048940432 has 360 divisors, whose sum is σ = 7316906688. Its totient is φ = 523860480.

The previous prime is 2048940431. The next prime is 2048940473. The reversal of 2048940432 is 2340498402.

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

It is not an unprimeable number, because it can be changed into a prime (2048940431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13050498 + ... + 13050654.

Almost surely, 22048940432 is an apocalyptic number.

2048940432 is a gapful number since it is divisible by the number (22) 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 2048940432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658453344).

2048940432 is an abundant number, since it is smaller than the sum of its proper divisors (5267966256).

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

2048940432 is a wasteful number, since it uses less digits than its factorization.

2048940432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2048940432 is about 45265.2232072261. The cubic root of 2048940432 is about 1270.1151923952.

The spelling of 2048940432 in words is "two billion, forty-eight million, nine hundred forty thousand, four hundred thirty-two".