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197883648 = 28353181
BaseRepresentation
bin10111100101101…
…11011100000000
3111210100112100000
423302313130000
5401124234043
631345200000
74621661154
oct1362673400
9453315300
10197883648
11a1777a06
1256330000
1331cc5c21
141c3d1064
151258c2d3
hexbcb7700

197883648 has 108 divisors (see below), whose sum is σ = 591864728. Its totient is φ = 65940480.

The previous prime is 197883619. The next prime is 197883667. The reversal of 197883648 is 846388791.

197883648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-3 number, since 3×1978836483 (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 197883594 and 197883603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60618 + ... + 63798.

Almost surely, 2197883648 is an apocalyptic number.

197883648 is a gapful number since it is divisible by the number (18) 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 197883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295932364).

197883648 is an abundant number, since it is smaller than the sum of its proper divisors (393981080).

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

197883648 is an frugal number, since it uses more digits than its factorization.

197883648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3186 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 197883648 is about 14067.1122836210. The cubic root of 197883648 is about 582.7334784601.

It can be divided in two parts, 19788 and 3648, that added together give a triangular number (23436 = T216).

The spelling of 197883648 in words is "one hundred ninety-seven million, eight hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3181 3456 3888 5184 6362 6912 7776 9543 10368 12724 15552 19086 20736 25448 28629 31104 38172 50896 57258 62208 76344 85887 101792 114516 152688 171774 203584 229032 257661 305376 343548 407168 458064 515322 610752 687096 772983 814336 916128 1030644 1221504 1374192 1545966 1832256 2061288 2443008 2748384 3091932 3664512 4122576 5496768 6183864 7329024 8245152 10993536 12367728 16490304 21987072 24735456 32980608 49470912 65961216 98941824 197883648