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248002542 = 23231444449
BaseRepresentation
bin11101100100000…
…11011111101110
3122021122211112100
432302003133232
51001442040132
640335315530
76100662324
oct1662033756
9567584470
10248002542
11117a99a87
126b07bba6
133c4c3488
1424d19d14
1516b8c37c
hexec837ee

248002542 has 24 divisors (see below), whose sum is σ = 554673600. Its totient is φ = 80000640.

The previous prime is 248002523. The next prime is 248002591. The reversal of 248002542 is 245200842.

It is a happy number.

248002542 is a modest number, since divided by 2542 gives 2480 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221667 + ... + 222782.

It is an arithmetic number, because the mean of its divisors is an integer number (23111400).

Almost surely, 2248002542 is an apocalyptic number.

248002542 is an abundant number, since it is smaller than the sum of its proper divisors (306671058).

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

248002542 is a wasteful number, since it uses less digits than its factorization.

248002542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444488 (or 444485 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 248002542 is about 15748.0964563975. The cubic root of 248002542 is about 628.2782770811.

The spelling of 248002542 in words is "two hundred forty-eight million, two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 444449 888898 1333347 2666694 4000041 8000082 13777919 27555838 41333757 82667514 124001271 248002542