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2928478140 = 22325721719531
BaseRepresentation
bin1010111010001101…
…0000011110111100
321120002110002210100
42232203100132330
521444142300030
61202331241100
7132366440100
oct25643203674
97502402710
102928478140
11127305aa75
126988a9190
13378932103
141dad09900
15122167360
hexae8d07bc

2928478140 has 216 divisors, whose sum is σ = 10941748272. Its totient is φ = 629959680.

The previous prime is 2928478129. The next prime is 2928478153. The reversal of 2928478140 is 418748292.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 140175 + ... + 159705.

It is an arithmetic number, because the mean of its divisors is an integer number (50656242).

Almost surely, 22928478140 is an apocalyptic number.

2928478140 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 2928478140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470874136).

2928478140 is an abundant number, since it is smaller than the sum of its proper divisors (8013270132).

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

2928478140 is a wasteful number, since it uses less digits than its factorization.

2928478140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19577 (or 19565 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2928478140 is about 54115.4149942509. The cubic root of 2928478140 is about 1430.6958876863.

The spelling of 2928478140 in words is "two billion, nine hundred twenty-eight million, four hundred seventy-eight thousand, one hundred forty".