Search a number
-
+
5928471000 = 23355331787
BaseRepresentation
bin1011000010101110…
…10100100111011000
3120022011110112100000
411201113110213120
544120142033000
62420135413000
7266625113004
oct54127244730
916264415300
105928471000
112572516011
121195524160
1373631330a
1440350d704
1524a709000
hex1615d49d8

5928471000 has 384 divisors, whose sum is σ = 21477980160. Its totient is φ = 1527984000.

The previous prime is 5928470971. The next prime is 5928471019. The reversal of 5928471000 is 1748295.

It is a super-3 number, since 3×59284710003 (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 7532607 + ... + 7533393.

It is an arithmetic number, because the mean of its divisors is an integer number (55932240).

Almost surely, 25928471000 is an apocalyptic number.

5928471000 is a gapful number since it is divisible by the number (50) 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 5928471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738990080).

5928471000 is an abundant number, since it is smaller than the sum of its proper divisors (15549509160).

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

5928471000 is a wasteful number, since it uses less digits than its factorization.

5928471000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5928471000 is about 76996.5648584403. The cubic root of 5928471000 is about 1809.8707720890.

The spelling of 5928471000 in words is "five billion, nine hundred twenty-eight million, four hundred seventy-one thousand".