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196348608 = 26322314821
BaseRepresentation
bin10111011010000…
…00101011000000
3111200110112122200
423231000223000
5400231123413
631252233200
74602635631
oct1355005300
9450415580
10196348608
11a0919685
125590b800
13318a9311
141c111888
1512387573
hexbb40ac0

196348608 has 84 divisors (see below), whose sum is σ = 587306928. Its totient is φ = 62599680.

The previous prime is 196348597. The next prime is 196348609. The reversal of 196348608 is 806843691.

196348608 is a `hidden beast` number, since 1 + 9 + 6 + 34 + 8 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (196348609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5838 + ... + 20658.

Almost surely, 2196348608 is an apocalyptic number.

196348608 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 196348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293653464).

196348608 is an abundant number, since it is smaller than the sum of its proper divisors (390958320).

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

196348608 is a wasteful number, since it uses less digits than its factorization.

196348608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862 (or 14849 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 196348608 is about 14012.4447545744. Note that the first 3 decimals coincide. The cubic root of 196348608 is about 581.2227552960. Note that the first 3 decimals are identical.

The spelling of 196348608 in words is "one hundred ninety-six million, three hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 14821 29642 44463 59284 88926 118568 133389 177852 237136 266778 340883 355704 474272 533556 681766 711408 948544 1022649 1067112 1363532 1422816 2045298 2134224 2727064 2845632 3067947 4090596 4268448 5454128 6135894 8181192 8536896 10908256 12271788 16362384 21816512 24543576 32724768 49087152 65449536 98174304 196348608