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2450289688 = 237211251659
BaseRepresentation
bin1001001000001100…
…0111010000011000
320022202122121112221
42102003013100120
520004233232223
61043050113424
7114502055500
oct22203072030
96282577487
102450289688
111048140a00
1258471b874
13300845b72
141935d0a00
15e51abb5d
hex920c7418

2450289688 has 72 divisors (see below), whose sum is σ = 5874516900. Its totient is φ = 954639840.

The previous prime is 2450289641. The next prime is 2450289697. The reversal of 2450289688 is 8869820542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21603 + ... + 73261.

Almost surely, 22450289688 is an apocalyptic number.

2450289688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2450289688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937258450).

2450289688 is an abundant number, since it is smaller than the sum of its proper divisors (3424227212).

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

2450289688 is a wasteful number, since it uses less digits than its factorization.

2450289688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51701 (or 51679 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The square root of 2450289688 is about 49500.4008872655. The cubic root of 2450289688 is about 1348.1528808987.

The spelling of 2450289688 in words is "two billion, four hundred fifty million, two hundred eighty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 2156 3388 4312 5929 6776 11858 23716 47432 51659 103318 206636 361613 413272 568249 723226 1136498 1446452 2272996 2531291 2892904 3977743 4545992 5062582 6250739 7955486 10125164 12501478 15910972 20250328 25002956 27844201 31821944 43755173 50005912 55688402 87510346 111376804 175020692 222753608 306286211 350041384 612572422 1225144844 2450289688