Search a number
-
+
47938464 = 2532724379
BaseRepresentation
bin1011011011011…
…1101110100000
310100012112012200
42312313232200
544233012324
64431253200
71121320200
oct266675640
9110175180
1047938464
1125072972
121407a200
139c15c72
14651c400
15431dec9
hex2db7ba0

47938464 has 216 divisors, whose sum is σ = 164324160. Its totient is φ = 13208832.

The previous prime is 47938441. The next prime is 47938477. The reversal of 47938464 is 46483974.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606777 + ... + 606855.

It is an arithmetic number, because the mean of its divisors is an integer number (760760).

Almost surely, 247938464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47938464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

47938464 is an abundant number, since it is smaller than the sum of its proper divisors (116385696).

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

47938464 is a wasteful number, since it uses less digits than its factorization.

47938464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 47938464 is about 6923.7608277583. The cubic root of 47938464 is about 363.2687489129.

The spelling of 47938464 in words is "forty-seven million, nine hundred thirty-eight thousand, four hundred sixty-four".