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248051268 = 22332922731
BaseRepresentation
bin11101100100011…
…11011001000100
3122021202022101000
432302033121010
51002000120033
640340333300
76101254353
oct1662173104
9567668330
10248051268
11118022653
126b0a4230
133c50c6ca
1424d2d99a
1516b9ba13
hexec8f644

248051268 has 72 divisors (see below), whose sum is σ = 666280160. Its totient is φ = 79803360.

The previous prime is 248051261. The next prime is 248051273. The reversal of 248051268 is 862150842.

248051268 is a `hidden beast` number, since 2 + 4 + 80 + 512 + 68 = 666.

248051268 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 (36).

It is not an unprimeable number, because it can be changed into a prime (248051261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89463 + ... + 92193.

Almost surely, 2248051268 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 248051268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333140080).

248051268 is an abundant number, since it is smaller than the sum of its proper divisors (418228892).

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

248051268 is a wasteful number, since it uses less digits than its factorization.

248051268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 248051268 is about 15749.6434245350. The cubic root of 248051268 is about 628.3194211252.

The spelling of 248051268 in words is "two hundred forty-eight million, fifty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 841 1044 1566 1682 2523 2731 3132 3364 5046 5462 7569 8193 10092 10924 15138 16386 22707 24579 30276 32772 45414 49158 73737 79199 90828 98316 147474 158398 237597 294948 316796 475194 712791 950388 1425582 2138373 2296771 2851164 4276746 4593542 6890313 8553492 9187084 13780626 20670939 27561252 41341878 62012817 82683756 124025634 248051268