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264466048 = 2771126833
BaseRepresentation
bin11111100001101…
…10111010000000
3200102122021012211
433300312322000
51020200403143
642124231504
76360632020
oct1760667200
9612567184
10264466048
11126314290
127469b594
1342a38cb2
14271a3a80
151834049d
hexfc36e80

264466048 has 64 divisors (see below), whose sum is σ = 656896320. Its totient is φ = 103034880.

The previous prime is 264465989. The next prime is 264466057. The reversal of 264466048 is 840664462.

264466048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 264466048.

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, 3561 + ... + 23272.

It is an arithmetic number, because the mean of its divisors is an integer number (10264005).

Almost surely, 2264466048 is an apocalyptic number.

264466048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

264466048 is an abundant number, since it is smaller than the sum of its proper divisors (392430272).

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

264466048 is a wasteful number, since it uses less digits than its factorization.

264466048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26865 (or 26853 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 264466048 is about 16262.4121212076. The cubic root of 264466048 is about 641.8841352356.

The spelling of 264466048 in words is "two hundred sixty-four million, four hundred sixty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 26833 53666 107332 187831 214664 295163 375662 429328 590326 751324 858656 1180652 1502648 1717312 2066141 2361304 3005296 3434624 4132282 4722608 6010592 8264564 9445216 12021184 16529128 18890432 24042368 33058256 37780864 66116512 132233024 264466048