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197921856 = 26311313023
BaseRepresentation
bin10111100110000…
…00110001000000
3111210102110202010
423303000301000
5401131444411
631350052520
74622210436
oct1363006100
9453373663
10197921856
11a17a3690
125634a140
133200a432
141c400d56
15125987a6
hexbcc0c40

197921856 has 112 divisors (see below), whose sum is σ = 589897728. Its totient is φ = 58022400.

The previous prime is 197921827. The next prime is 197921929. The reversal of 197921856 is 658129791.

It is a super-2 number, since 2×1979218562 = 78346122164969472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 63961 + ... + 66983.

It is an arithmetic number, because the mean of its divisors is an integer number (5266944).

Almost surely, 2197921856 is an apocalyptic number.

197921856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294948864).

197921856 is an abundant number, since it is smaller than the sum of its proper divisors (391975872).

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

197921856 is a wasteful number, since it uses less digits than its factorization.

197921856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3070 counting only the distinct ones).

The product of its digits is 272160, while the sum is 48.

The square root of 197921856 is about 14068.4702793161. The cubic root of 197921856 is about 582.7709813869.

The spelling of 197921856 in words is "one hundred ninety-seven million, nine hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1364 1488 1984 2046 2112 2728 2976 3023 4092 5456 5952 6046 8184 9069 10912 12092 16368 18138 21824 24184 32736 33253 36276 48368 65472 66506 72552 93713 96736 99759 133012 145104 187426 193472 199518 266024 281139 290208 374852 399036 532048 562278 580416 749704 798072 1030843 1064096 1124556 1499408 1596144 2061686 2128192 2249112 2998816 3092529 3192288 4123372 4498224 5997632 6185058 6384576 8246744 8996448 12370116 16493488 17992896 24740232 32986976 49480464 65973952 98960928 197921856