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264468936 = 23331373953
BaseRepresentation
bin11111100001101…
…11100111001000
3200102122102011210
433300313213020
51020201001221
642124253120
76360643314
oct1760674710
9612572153
10264468936
11126316476
12746a11a0
1342a3a3c4
14271a4b44
1518341276
hexfc379c8

264468936 has 64 divisors (see below), whose sum is σ = 685048320. Its totient is φ = 84994560.

The previous prime is 264468931. The next prime is 264468937. The reversal of 264468936 is 639864462.

264468936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264468931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277036 + ... + 277988.

It is an arithmetic number, because the mean of its divisors is an integer number (10703880).

Almost surely, 2264468936 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 264468936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342524160).

264468936 is an abundant number, since it is smaller than the sum of its proper divisors (420579384).

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

264468936 is a wasteful number, since it uses less digits than its factorization.

264468936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1362 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 264468936 is about 16262.5009146810. The cubic root of 264468936 is about 641.8864717102.

The spelling of 264468936 in words is "two hundred sixty-four million, four hundred sixty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 373 744 746 953 1119 1492 1906 2238 2859 2984 3812 4476 5718 7624 8952 11436 11563 22872 23126 29543 34689 46252 59086 69378 88629 92504 118172 138756 177258 236344 277512 354516 355469 709032 710938 1066407 1421876 2132814 2843752 4265628 8531256 11019539 22039078 33058617 44078156 66117234 88156312 132234468 264468936