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263880564 = 223235771657
BaseRepresentation
bin11111011101001…
…11111101110100
3200101112112002020
433232213331310
51020023134224
642103513140
76352643043
oct1756477564
9611475066
10263880564
11125a54412
12744587b0
134289265c
142709055a
1518276c79
hexfba7f74

263880564 has 48 divisors (see below), whose sum is σ = 643993728. Its totient is φ = 83939328.

The previous prime is 263880563. The next prime is 263880577. The reversal of 263880564 is 465088362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263880563) 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, 158424 + ... + 160080.

It is an arithmetic number, because the mean of its divisors is an integer number (13416536).

Almost surely, 2263880564 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 263880564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321996864).

263880564 is an abundant number, since it is smaller than the sum of its proper divisors (380113164).

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

263880564 is a wasteful number, since it uses less digits than its factorization.

263880564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 263880564 is about 16244.4010046539. The cubic root of 263880564 is about 641.4101102273.

The spelling of 263880564 in words is "two hundred sixty-three million, eight hundred eighty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 577 1154 1657 1731 2308 3314 3462 4971 6628 6924 9942 13271 19884 26542 38111 39813 53084 76222 79626 114333 152444 159252 228666 457332 956089 1912178 2868267 3824356 5736534 11473068 21990047 43980094 65970141 87960188 131940282 263880564