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248661534 = 23112379257
BaseRepresentation
bin11101101001001…
…00011000011110
3122022220022111110
432310210120132
51002124132114
640401402450
76106405512
oct1664443036
9568808443
10248661534
111183aa100
126b339426
133c694404
142504c142
1516c6c759
hexed2461e

248661534 has 48 divisors (see below), whose sum is σ = 561479184. Its totient is φ = 73307520.

The previous prime is 248661527. The next prime is 248661541. The reversal of 248661534 is 435166842.

248661534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248661527) and next prime (248661541).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 248661492 and 248661501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22234 + ... + 31490.

It is an arithmetic number, because the mean of its divisors is an integer number (11697483).

Almost surely, 2248661534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248661534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280739592).

248661534 is an abundant number, since it is smaller than the sum of its proper divisors (312817650).

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

248661534 is a wasteful number, since it uses less digits than its factorization.

248661534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9321 (or 9310 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 248661534 is about 15769.0054854452. The cubic root of 248661534 is about 628.8342716220.

The spelling of 248661534 in words is "two hundred forty-eight million, six hundred sixty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 8954 9257 13431 18514 26862 27771 55542 101827 203654 305481 342509 610962 685018 1027527 1120097 2055054 2240194 3360291 3767599 6720582 7535198 11302797 22605594 41443589 82887178 124330767 248661534