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5037892848 = 243419332011
BaseRepresentation
bin1001011000100100…
…00010010011110000
3111000002200110210000
410230102002103300
540304200032343
62151523310000
7235562245152
oct45422022360
914002613700
105037892848
11215583950a
12b8721b300
136239682b1
1435b126ad2
151e743ded3
hex12c4824f0

5037892848 has 100 divisors (see below), whose sum is σ = 14595921208. Its totient is φ = 1677594240.

The previous prime is 5037892819. The next prime is 5037892889. The reversal of 5037892848 is 8482987305.

It is a happy number.

5037892848 is a `hidden beast` number, since 503 + 7 + 8 + 92 + 8 + 48 = 666.

It is a super-2 number, since 2×50378928482 = 50760728695859102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5037892794 and 5037892803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2504163 + ... + 2506173.

Almost surely, 25037892848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5037892848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297960604).

5037892848 is an abundant number, since it is smaller than the sum of its proper divisors (9558028360).

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

5037892848 is a wasteful number, since it uses less digits than its factorization.

5037892848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 5037892848 is about 70978.1152750621. The cubic root of 5037892848 is about 1714.2848038567.

The spelling of 5037892848 in words is "five billion, thirty-seven million, eight hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1933 2011 3866 4022 5799 6033 7732 8044 11598 12066 15464 16088 17397 18099 23196 24132 30928 32176 34794 36198 46392 48264 52191 54297 69588 72396 92784 96528 104382 108594 139176 144792 156573 162891 208764 217188 278352 289584 313146 325782 417528 434376 626292 651564 835056 868752 1252584 1303128 2505168 2606256 3887263 7774526 11661789 15549052 23323578 31098104 34985367 46647156 62196208 69970734 93294312 104956101 139941468 186588624 209912202 279882936 314868303 419824404 559765872 629736606 839648808 1259473212 1679297616 2518946424 5037892848