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557425920 = 2835178539
BaseRepresentation
bin100001001110011…
…010010100000000
31102211220011121110
4201032122110000
52120200112140
6131151323320
716546020312
oct4116322400
91384804543
10557425920
1126671a387
12136820540
138b64052c
14540637b2
1533e0d380
hex2139a500

557425920 has 144 divisors (see below), whose sum is σ = 1885222080. Its totient is φ = 139886592.

The previous prime is 557425909. The next prime is 557425943. The reversal of 557425920 is 29524755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61011 + ... + 69549.

It is an arithmetic number, because the mean of its divisors is an integer number (13091820).

Almost surely, 2557425920 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 557425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942611040).

557425920 is an abundant number, since it is smaller than the sum of its proper divisors (1327796160).

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

557425920 is a wasteful number, since it uses less digits than its factorization.

557425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 557425920 is about 23609.8691228901. The cubic root of 557425920 is about 822.9922011557.

The spelling of 557425920 in words is "five hundred fifty-seven million, four hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 8539 10880 13056 16320 17078 21760 25617 32640 34156 42695 51234 65280 68312 85390 102468 128085 136624 145163 170780 204936 256170 273248 290326 341560 409872 435489 512340 546496 580652 683120 725815 819744 870978 1024680 1092992 1161304 1366240 1451630 1639488 1741956 2049360 2177445 2185984 2322608 2732480 2903260 3278976 3483912 4098720 4354890 4645216 5464960 5806520 6557952 6967824 8197440 8709780 9290432 10929920 11613040 13935648 16394880 17419560 18580864 23226080 27871296 32789760 34839120 37161728 46452160 55742592 69678240 92904320 111485184 139356480 185808640 278712960 557425920