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248276364 = 223717372127
BaseRepresentation
bin11101100110001…
…10010110001100
3122022011202010220
432303012112030
51002024320424
640345231340
76103212540
oct1663062614
9568152126
10248276364
11118166786
126b192550
133c58acbb
1424d8ba20
1516be3579
hexecc658c

248276364 has 144 divisors (see below), whose sum is σ = 726147072. Its totient is φ = 64447488.

The previous prime is 248276351. The next prime is 248276383. The reversal of 248276364 is 463672842.

248276364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1954869 + ... + 1954995.

It is an arithmetic number, because the mean of its divisors is an integer number (5042688).

Almost surely, 2248276364 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 248276364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363073536).

248276364 is an abundant number, since it is smaller than the sum of its proper divisors (477870708).

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

248276364 is a wasteful number, since it uses less digits than its factorization.

248276364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 193 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 248276364 is about 15756.7878706290. The cubic root of 248276364 is about 628.5094214020.

The spelling of 248276364 in words is "two hundred forty-eight million, two hundred seventy-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 37 42 51 68 74 84 102 111 119 127 148 204 222 238 254 259 357 381 444 476 508 518 629 714 762 777 889 1036 1258 1369 1428 1524 1554 1778 1887 2159 2516 2667 2738 3108 3556 3774 4107 4318 4403 4699 5334 5476 6477 7548 8214 8636 8806 9398 9583 10668 12954 13209 14097 15113 16428 17612 18796 19166 23273 25908 26418 28194 28749 30226 32893 38332 45339 46546 52836 56388 57498 60452 65786 69819 79883 90678 93092 98679 114996 131572 139638 159766 162911 173863 181356 197358 239649 279276 319532 325822 347726 394716 479298 488733 521589 559181 651644 695452 958596 977466 1043178 1118362 1217041 1677543 1954932 2086356 2236724 2434082 2955671 3355086 3651123 4868164 5911342 6710172 7302246 8867013 11822684 14604492 17734026 20689697 35468052 41379394 62069091 82758788 124138182 248276364