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197926848 = 2633716363
BaseRepresentation
bin10111100110000…
…01111111000000
3111210102201121000
423303001333000
5401132124343
631350132000
74622231130
oct1363017700
9453381530
10197926848
11a17a7409
1256351000
133200c7a2
141c402ac0
1512599ed3
hexbcc1fc0

197926848 has 112 divisors (see below), whose sum is σ = 665032960. Its totient is φ = 56547072.

The previous prime is 197926843. The next prime is 197926849. The reversal of 197926848 is 848629791.

197926848 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 (112).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 197926794 and 197926803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197926843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3915 + ... + 20277.

Almost surely, 2197926848 is an apocalyptic number.

197926848 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 197926848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332516480).

197926848 is an abundant number, since it is smaller than the sum of its proper divisors (467106112).

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

197926848 is a wasteful number, since it uses less digits than its factorization.

197926848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16391 (or 16375 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 197926848 is about 14068.6476962073. The cubic root of 197926848 is about 582.7758809102.

The spelling of 197926848 in words is "one hundred ninety-seven million, nine hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 16363 32726 49089 65452 98178 114541 130904 147267 196356 229082 261808 294534 343623 392712 441801 458164 523616 589068 687246 785424 883602 916328 1030869 1047232 1178136 1374492 1570848 1767204 1832656 2061738 2356272 2748984 3092607 3141696 3534408 3665312 4123476 4712544 5497968 6185214 7068816 7330624 8246952 9425088 10995936 12370428 14137632 16493904 21991872 24740856 28275264 32987808 49481712 65975616 98963424 197926848