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268596048 = 24372114199
BaseRepresentation
bin10000000000100…
…111001101010000
3200201102002111210
4100000213031100
51022230033143
642352540120
76441012600
oct2000471520
9621362453
10268596048
11128685206
1275b51640
1343853a96
142795ac00
15188a9033
hex10027350

268596048 has 60 divisors (see below), whose sum is σ = 807165600. Its totient is φ = 76741056.

The previous prime is 268596019. The next prime is 268596049. The reversal of 268596048 is 840695862.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 268595988 and 268596006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268596049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54748 + ... + 59451.

It is an arithmetic number, because the mean of its divisors is an integer number (13452760).

Almost surely, 2268596048 is an apocalyptic number.

268596048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268596048 is an abundant number, since it is smaller than the sum of its proper divisors (538569552).

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

268596048 is a wasteful number, since it uses less digits than its factorization.

268596048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114224 (or 114211 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 268596048 is about 16388.9001461355. The cubic root of 268596048 is about 645.2081919120.

The spelling of 268596048 in words is "two hundred sixty-eight million, five hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 114199 228398 342597 456796 685194 799393 913592 1370388 1598786 1827184 2398179 2740776 3197572 4796358 5481552 5595751 6395144 9592716 11191502 12790288 16787253 19185432 22383004 33574506 38370864 44766008 67149012 89532016 134298024 268596048