Search a number
-
+
64203072 = 2631272633
BaseRepresentation
bin1111010011101…
…0100101000000
311110210212001120
43310322211000
5112413444242
610212032240
71406500653
oct364724500
9143725046
1064203072
113327179a
1219602680
13103bc0ab
14875389a
1559831ec
hex3d3a940

64203072 has 56 divisors (see below), whose sum is σ = 171273216. Its totient is φ = 21224448.

The previous prime is 64203059. The next prime is 64203119. The reversal of 64203072 is 27030246.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23068 + ... + 25700.

Almost surely, 264203072 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 64203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85636608).

64203072 is an abundant number, since it is smaller than the sum of its proper divisors (107070144).

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

64203072 is a wasteful number, since it uses less digits than its factorization.

64203072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 64203072 is about 8012.6819480122. The cubic root of 64203072 is about 400.4226199903.

The spelling of 64203072 in words is "sixty-four million, two hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 2633 3048 4064 5266 6096 7899 8128 10532 12192 15798 21064 24384 31596 42128 63192 84256 126384 168512 252768 334391 505536 668782 1003173 1337564 2006346 2675128 4012692 5350256 8025384 10700512 16050768 21401024 32101536 64203072