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248016252 = 223111878911
BaseRepresentation
bin11101100100001…
…10110101111100
3122021200112100010
432302012311330
51001443010002
640335503220
76101050311
oct1662066574
9567615303
10248016252
11117aa9310
126b087b10
133c4c97a3
1424d20d08
1516b9146c
hexec86d7c

248016252 has 24 divisors (see below), whose sum is σ = 631314432. Its totient is φ = 75156400.

The previous prime is 248016239. The next prime is 248016271. The reversal of 248016252 is 252610842.

It is a super-2 number, since 2×2480162522 = 123024122512255008, which contains 22 as substring.

It is a congruent number.

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, 939324 + ... + 939587.

It is an arithmetic number, because the mean of its divisors is an integer number (26304768).

Almost surely, 2248016252 is an apocalyptic number.

248016252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

248016252 is an abundant number, since it is smaller than the sum of its proper divisors (383298180).

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

248016252 is a wasteful number, since it uses less digits than its factorization.

248016252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878929 (or 1878927 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 248016252 is about 15748.5317410862. The cubic root of 248016252 is about 628.2898542963.

The spelling of 248016252 in words is "two hundred forty-eight million, sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1878911 3757822 5636733 7515644 11273466 20668021 22546932 41336042 62004063 82672084 124008126 248016252