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550830816 = 253231103599
BaseRepresentation
bin100000110101010…
…000001011100000
31102101111002211100
4200311100023200
52112003041231
6130354114400
716435661514
oct4065201340
91371432740
10550830816
11262a25388
1213457ba00
138a1716c3
1453228144
15335591e6
hex20d502e0

550830816 has 144 divisors (see below), whose sum is σ = 1635379200. Its totient is φ = 175668480.

The previous prime is 550830781. The next prime is 550830823. The reversal of 550830816 is 618038055.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919285 + ... + 919883.

It is an arithmetic number, because the mean of its divisors is an integer number (11356800).

Almost surely, 2550830816 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 550830816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817689600).

550830816 is an abundant number, since it is smaller than the sum of its proper divisors (1084548384).

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

550830816 is a wasteful number, since it uses less digits than its factorization.

550830816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 550830816 is about 23469.7851715775. The cubic root of 550830816 is about 819.7336116650.

The spelling of 550830816 in words is "five hundred fifty million, eight hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 103 124 144 186 206 248 279 288 309 372 412 496 558 599 618 744 824 927 992 1116 1198 1236 1488 1648 1797 1854 2232 2396 2472 2976 3193 3296 3594 3708 4464 4792 4944 5391 6386 7188 7416 8928 9579 9584 9888 10782 12772 14376 14832 18569 19158 19168 21564 25544 28737 28752 29664 37138 38316 43128 51088 55707 57474 57504 61697 74276 76632 86256 102176 111414 114948 123394 148552 153264 167121 172512 185091 222828 229896 246788 297104 306528 334242 370182 445656 459792 493576 555273 594208 668484 740364 891312 919584 987152 1110546 1336968 1480728 1782624 1912607 1974304 2221092 2673936 2961456 3825214 4442184 5347872 5737821 5922912 7650428 8884368 11475642 15300856 17213463 17768736 22951284 30601712 34426926 45902568 61203424 68853852 91805136 137707704 183610272 275415408 550830816