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5152451328 = 28324747581
BaseRepresentation
bin1001100110001110…
…00010101100000000
3111022002020122110200
410303013002230000
541023011420303
62211134525200
7241453053663
oct46307025400
914262218420
105152451328
112204473a42
12bb9666800
1364160848b
1436c4276da
1520251c3a3
hex1331c2b00

5152451328 has 108 divisors (see below), whose sum is σ = 15172186848. Its totient is φ = 1680906240.

The previous prime is 5152451321. The next prime is 5152451351. The reversal of 5152451328 is 8231542515.

5152451328 is a `hidden beast` number, since 51 + 524 + 51 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5152451292 and 5152451301.

It is not an unprimeable number, because it can be changed into a prime (5152451321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84498 + ... + 132078.

Almost surely, 25152451328 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 5152451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586093424).

5152451328 is an abundant number, since it is smaller than the sum of its proper divisors (10019735520).

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

5152451328 is a wasteful number, since it uses less digits than its factorization.

5152451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47650 (or 47633 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 5152451328 is about 71780.5776516183. The cubic root of 5152451328 is about 1727.1814538833.

The spelling of 5152451328 in words is "five billion, one hundred fifty-two million, four hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 752 768 846 1128 1152 1504 1692 2256 2304 3008 3384 4512 6016 6768 9024 12032 13536 18048 27072 36096 47581 54144 95162 108288 142743 190324 285486 380648 428229 570972 761296 856458 1141944 1522592 1712916 2236307 2283888 3045184 3425832 4472614 4567776 6090368 6708921 6851664 8945228 9135552 12180736 13417842 13703328 17890456 18271104 20126763 26835684 27406656 35780912 36542208 40253526 53671368 54813312 71561824 80507052 107342736 109626624 143123648 161014104 214685472 286247296 322028208 429370944 572494592 644056416 858741888 1288112832 1717483776 2576225664 5152451328