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61864398 = 236151281
BaseRepresentation
bin1110101111111…
…1100111001110
311022102001000000
43223333213032
5111314130043
610045545130
71350560451
oct353774716
9138361000
1061864398
1131a14702
12188751a6
13ca8076b
148305498
1556702d3
hex3aff9ce

61864398 has 56 divisors (see below), whose sum is σ = 140551056. Its totient is φ = 20412000.

The previous prime is 61864379. The next prime is 61864403. The reversal of 61864398 is 89346816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 220018 + ... + 220298.

Almost surely, 261864398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61864398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70275528).

61864398 is an abundant number, since it is smaller than the sum of its proper divisors (78686658).

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

61864398 is a wasteful number, since it uses less digits than its factorization.

61864398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 61864398 is about 7865.3924250478. The cubic root of 61864398 is about 395.5004030271.

The spelling of 61864398 in words is "sixty-one million, eight hundred sixty-four thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 243 281 302 453 486 562 729 843 906 1359 1458 1686 2529 2718 4077 5058 7587 8154 12231 15174 22761 24462 36693 42431 45522 68283 73386 84862 110079 127293 136566 204849 220158 254586 381879 409698 763758 1145637 2291274 3436911 6873822 10310733 20621466 30932199 61864398