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264023056 = 241117791117
BaseRepresentation
bin11111011110010…
…10110000010000
3200101210202112201
433233022300100
51020042214211
642110532544
76354105343
oct1757126020
9611722481
10264023056
11126041480
1274507154
134291247b
14270ca45a
15182a40c1
hexfbcac10

264023056 has 80 divisors (see below), whose sum is σ = 598890240. Its totient is φ = 111421440.

The previous prime is 264023041. The next prime is 264023059. The reversal of 264023056 is 650320462.

It is a happy number.

264023056 is digitally balanced in base 2 and base 3, because in such bases 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 (264023059) 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, 235810 + ... + 236926.

It is an arithmetic number, because the mean of its divisors is an integer number (7486128).

Almost surely, 2264023056 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 264023056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299445120).

264023056 is an abundant number, since it is smaller than the sum of its proper divisors (334867184).

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

264023056 is a wasteful number, since it uses less digits than its factorization.

264023056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 264023056 is about 16248.7862931359. The cubic root of 264023056 is about 641.5255404332.

The spelling of 264023056 in words is "two hundred sixty-four million, twenty-three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 79 88 136 158 176 187 272 316 374 632 748 869 1117 1264 1343 1496 1738 2234 2686 2992 3476 4468 5372 6952 8936 10744 12287 13904 14773 17872 18989 21488 24574 29546 37978 49148 59092 75956 88243 98296 118184 151912 176486 196592 208879 236368 303824 352972 417758 705944 835516 970673 1411888 1500131 1671032 1941346 3000262 3342064 3882692 6000524 7765384 12001048 15530768 16501441 24002096 33002882 66005764 132011528 264023056