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248121480 = 23352067679
BaseRepresentation
bin11101100101000…
…00100010001000
3122021212212200110
432302200202020
51002004341410
640342034320
76101666145
oct1662404210
9567785613
10248121480
11118070382
126b1189a0
133c535659
1424d4b3cc
1516bb2720
hexeca0888

248121480 has 32 divisors (see below), whose sum is σ = 744364800. Its totient is φ = 66165696.

The previous prime is 248121479. The next prime is 248121487. The reversal of 248121480 is 84121842.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (248121487) 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, 1033720 + ... + 1033959.

It is an arithmetic number, because the mean of its divisors is an integer number (23261400).

Almost surely, 2248121480 is an apocalyptic number.

248121480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248121480 is an abundant number, since it is smaller than the sum of its proper divisors (496243320).

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

248121480 is a wasteful number, since it uses less digits than its factorization.

248121480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067693 (or 2067689 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 248121480 is about 15751.8722696700. The cubic root of 248121480 is about 628.3786983892.

The spelling of 248121480 in words is "two hundred forty-eight million, one hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2067679 4135358 6203037 8270716 10338395 12406074 16541432 20676790 24812148 31015185 41353580 49624296 62030370 82707160 124060740 248121480