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64748376 = 233371117229
BaseRepresentation
bin1111011011111…
…1101101011000
311111211120002000
43312333231120
5113033422001
610231441000
71414231530
oct366775530
9144746060
1064748376
1133604460
1219826160
1310550364
1488564c0
155a3ea86
hex3dbfb58

64748376 has 256 divisors, whose sum is σ = 238464000. Its totient is φ = 15759360.

The previous prime is 64748353. The next prime is 64748377. The reversal of 64748376 is 67384746.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64748377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282630 + ... + 282858.

It is an arithmetic number, because the mean of its divisors is an integer number (931500).

Almost surely, 264748376 is an apocalyptic number.

64748376 is a gapful number since it is divisible by the number (66) 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 64748376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119232000).

64748376 is an abundant number, since it is smaller than the sum of its proper divisors (173715624).

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

64748376 is a wasteful number, since it uses less digits than its factorization.

64748376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 64748376 is about 8046.6375586328. The cubic root of 64748376 is about 401.5530787284.

The spelling of 64748376 in words is "sixty-four million, seven hundred forty-eight thousand, three hundred seventy-six".