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5309397504 = 2933433887
BaseRepresentation
bin1001111000111011…
…01111101000000000
3111201000120100011000
410330131233220000
541333201210004
62234502452000
7245400064005
oct47435575000
914630510130
105309397504
11228501aa24
121042134000
13667c99c38
143851dd8ac
152111bec39
hex13c76fa00

5309397504 has 160 divisors (see below), whose sum is σ = 15770240640. Its totient is φ = 1763721216.

The previous prime is 5309397503. The next prime is 5309397539. The reversal of 5309397504 is 4057939035.

5309397504 is a `hidden beast` number, since 53 + 0 + 9 + 3 + 97 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5309397504.

It is not an unprimeable number, because it can be changed into a prime (5309397503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5985349 + ... + 5986235.

It is an arithmetic number, because the mean of its divisors is an integer number (98564004).

Almost surely, 25309397504 is an apocalyptic number.

5309397504 is a gapful number since it is divisible by the number (54) 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 5309397504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885120320).

5309397504 is an abundant number, since it is smaller than the sum of its proper divisors (10460843136).

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

5309397504 is an equidigital number, since it uses as much as digits as its factorization.

5309397504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5309397504 is about 72865.6126303759. The cubic root of 5309397504 is about 1744.5432754617.

The spelling of 5309397504 in words is "five billion, three hundred nine million, three hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 433 512 576 768 864 866 887 1152 1299 1536 1728 1732 1774 2304 2598 2661 3456 3464 3548 3897 4608 5196 5322 6912 6928 7096 7794 7983 10392 10644 11691 13824 13856 14192 15588 15966 20784 21288 23382 23949 27712 28384 31176 31932 41568 42576 46764 47898 55424 56768 62352 63864 83136 85152 93528 95796 110848 113536 124704 127728 166272 170304 187056 191592 221696 227072 249408 255456 332544 340608 374112 383184 384071 454144 498816 510912 665088 681216 748224 766368 768142 997632 1021824 1152213 1362432 1496448 1532736 1536284 1995264 2043648 2304426 2992896 3065472 3072568 3456639 4087296 4608852 5985792 6130944 6145136 6913278 9217704 10369917 12261888 12290272 13826556 18435408 20739834 24580544 27653112 36870816 41479668 49161088 55306224 73741632 82959336 98322176 110612448 147483264 165918672 196644352 221224896 294966528 331837344 442449792 589933056 663674688 884899584 1327349376 1769799168 2654698752 5309397504