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556993368 = 233331193431
BaseRepresentation
bin100001001100110…
…000101101011000
31102211002012021000
4201030300231120
52120042241433
6131134145000
716542236241
oct4114605530
91384065230
10556993368
112664543a8
12136652160
138b51b699
1453d8dcc8
1533d75113
hex21330b58

556993368 has 128 divisors (see below), whose sum is σ = 1609113600. Its totient is φ = 178329600.

The previous prime is 556993363. The next prime is 556993373. The reversal of 556993368 is 863399655.

It is an interprime number because it is at equal distance from previous prime (556993363) and next prime (556993373).

It is a super-2 number, since 2×5569933682 = 620483223991966848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556993361) 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, 1292113 + ... + 1292543.

It is an arithmetic number, because the mean of its divisors is an integer number (12571200).

Almost surely, 2556993368 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 556993368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804556800).

556993368 is an abundant number, since it is smaller than the sum of its proper divisors (1052120232).

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

556993368 is a wasteful number, since it uses less digits than its factorization.

556993368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 556993368 is about 23600.7069385644. The cubic root of 556993368 is about 822.7792705945.

The spelling of 556993368 in words is "five hundred fifty-six million, nine hundred ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 193 216 248 279 372 386 431 558 579 744 772 837 862 1116 1158 1293 1544 1674 1724 1737 2232 2316 2586 3348 3448 3474 3879 4632 5172 5211 5983 6696 6948 7758 10344 10422 11637 11966 13361 13896 15516 17949 20844 23274 23932 26722 31032 35898 40083 41688 46548 47864 53444 53847 71796 80166 83183 93096 106888 107694 120249 143592 160332 161541 166366 215388 240498 249549 320664 323082 332732 360747 430776 480996 499098 646164 665464 721494 748647 961992 998196 1292328 1442988 1497294 1996392 2245941 2578673 2885976 2994588 4491882 5157346 5989176 7736019 8983764 10314692 15472038 17967528 20629384 23208057 30944076 46416114 61888152 69624171 92832228 139248342 185664456 278496684 556993368