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268428576 = 25313215087
BaseRepresentation
bin11111111111111…
…10010100100000
3200201002120210010
433333332110200
51022204203301
642345204520
76436414413
oct1777762440
9621076703
10268428576
111285803a9
1275a90740
13437c57a0
1427915b7a
15188745d6
hexfffe520

268428576 has 48 divisors (see below), whose sum is σ = 758830464. Its totient is φ = 82593024.

The previous prime is 268428569. The next prime is 268428577. The reversal of 268428576 is 675824862.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (268428577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106296 + ... + 108791.

It is an arithmetic number, because the mean of its divisors is an integer number (15808968).

Almost surely, 2268428576 is an apocalyptic number.

268428576 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

268428576 is an abundant number, since it is smaller than the sum of its proper divisors (490401888).

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

268428576 is a wasteful number, since it uses less digits than its factorization.

268428576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215113 (or 215105 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 268428576 is about 16383.7900377172. The cubic root of 268428576 is about 645.0740663698.

The spelling of 268428576 in words is "two hundred sixty-eight million, four hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 215087 430174 645261 860348 1290522 1720696 2581044 2796131 3441392 5162088 5592262 6882784 8388393 10324176 11184524 16776786 20648352 22369048 33553572 44738096 67107144 89476192 134214288 268428576