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5298092928 = 27333374549
BaseRepresentation
bin1001110111100101…
…00111101110000000
3111200020022000012000
410323302213232000
541322302433203
62233420304000
7245202022032
oct47362475600
914606260160
105298092928
1122796a96a7
12103a3a2000
1366583c63b
143838d9c52
152101da4a3
hex13bca7b80

5298092928 has 128 divisors (see below), whose sum is σ = 15686580000. Its totient is φ = 1760403456.

The previous prime is 5298092903. The next prime is 5298092953. The reversal of 5298092928 is 8292908925.

5298092928 is a `hidden beast` number, since 529 + 8 + 0 + 92 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (5298092903) and next prime (5298092953).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×52980929282 = 56139577347447226368, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 1162398 + ... + 1166946.

Almost surely, 25298092928 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 5298092928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843290000).

5298092928 is an abundant number, since it is smaller than the sum of its proper divisors (10388487072).

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

5298092928 is a wasteful number, since it uses less digits than its factorization.

5298092928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 5298092928 is about 72787.9998900918. Note that the first 3 decimals coincide. The cubic root of 5298092928 is about 1743.3042563296.

The spelling of 5298092928 in words is "five billion, two hundred ninety-eight million, ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 337 384 432 576 674 864 1011 1152 1348 1728 2022 2696 3033 3456 4044 4549 5392 6066 8088 9098 9099 10784 12132 13647 16176 18196 18198 21568 24264 27294 32352 36392 36396 40941 43136 48528 54588 64704 72784 72792 81882 97056 109176 122823 129408 145568 145584 163764 194112 218352 245646 291136 291168 327528 388224 436704 491292 582272 582336 655056 873408 982584 1164672 1310112 1533013 1746816 1965168 2620224 3066026 3930336 4599039 5240448 6132052 7860672 9198078 12264104 13797117 15721344 18396156 24528208 27594234 36792312 41391351 49056416 55188468 73584624 82782702 98112832 110376936 147169248 165565404 196225664 220753872 294338496 331130808 441507744 588676992 662261616 883015488 1324523232 1766030976 2649046464 5298092928