Search a number
-
+
552664920 = 233553113769
BaseRepresentation
bin100000111100001…
…111111101011000
31102111221021202010
4200330033331120
52112440234140
6130501305520
716460400663
oct4074177530
91374837663
10552664920
11263a68375
121351052a0
138a664482
14535846da
15337bc880
hex20f0ff58

552664920 has 128 divisors (see below), whose sum is σ = 1706443200. Its totient is φ = 143130624.

The previous prime is 552664909. The next prime is 552664921. The reversal of 552664920 is 29466255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552664921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718296 + ... + 719064.

Almost surely, 2552664920 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 552664920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853221600).

552664920 is an abundant number, since it is smaller than the sum of its proper divisors (1153778280).

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

552664920 is a wasteful number, since it uses less digits than its factorization.

552664920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 552664920 is about 23508.8264275357. The cubic root of 552664920 is about 820.6424273553.

Subtracting from 552664920 its sum of digits (39), we obtain a triangular number (552664881 = T33246).

The spelling of 552664920 in words is "five hundred fifty-two million, six hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 113 120 159 212 226 265 318 339 424 452 530 565 636 678 769 795 904 1060 1130 1272 1356 1538 1590 1695 2120 2260 2307 2712 3076 3180 3390 3845 4520 4614 5989 6152 6360 6780 7690 9228 11535 11978 13560 15380 17967 18456 23070 23956 29945 30760 35934 40757 46140 47912 59890 71868 81514 86897 89835 92280 119780 122271 143736 163028 173794 179670 203785 239560 244542 260691 326056 347588 359340 407570 434485 489084 521382 611355 695176 718680 815140 868970 978168 1042764 1222710 1303455 1630280 1737940 2085528 2445420 2606910 3475880 4605541 4890840 5213820 9211082 10427640 13816623 18422164 23027705 27633246 36844328 46055410 55266492 69083115 92110820 110532984 138166230 184221640 276332460 552664920