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553253376 = 29313103269
BaseRepresentation
bin100000111110011…
…111101000000000
31102120001011221210
4200332133220000
52113113102001
6130522050120
716465401414
oct4076375000
91376034853
10553253376
1126432a4a5
12135349940
138a80c280
1453698d44
1533886dd6
hex20f9fa00

553253376 has 160 divisors (see below), whose sum is σ = 1608647040. Its totient is φ = 167952384.

The previous prime is 553253359. The next prime is 553253377. The reversal of 553253376 is 673352355.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (553253377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2056570 + ... + 2056838.

It is an arithmetic number, because the mean of its divisors is an integer number (10054044).

Almost surely, 2553253376 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 553253376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

553253376 is an abundant number, since it is smaller than the sum of its proper divisors (1055393664).

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

553253376 is a wasteful number, since it uses less digits than its factorization.

553253376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its digits is 283500, while the sum is 39.

The square root of 553253376 is about 23521.3387374103. The cubic root of 553253376 is about 820.9335866991.

The spelling of 553253376 in words is "five hundred fifty-three million, two hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 256 269 309 312 384 412 416 512 538 618 624 768 807 824 832 1076 1236 1248 1339 1536 1614 1648 1664 2152 2472 2496 2678 3228 3296 3328 3497 4017 4304 4944 4992 5356 6456 6592 6656 6994 8034 8608 9888 9984 10491 10712 12912 13184 13988 16068 17216 19776 19968 20982 21424 25824 26368 27707 27976 32136 34432 39552 41964 42848 51648 52736 55414 55952 64272 68864 79104 83121 83928 85696 103296 110828 111904 128544 137728 158208 166242 167856 171392 206592 221656 223808 257088 332484 335712 342784 360191 413184 443312 447616 514176 664968 671424 685568 720382 886624 895232 1028352 1080573 1329936 1342848 1440764 1773248 1790464 2056704 2161146 2659872 2685696 2881528 3546496 4322292 5319744 5371392 5763056 7092992 8644584 10639488 11526112 14185984 17289168 21278976 23052224 34578336 42557952 46104448 69156672 92208896 138313344 184417792 276626688 553253376