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196728048 = 24331141399
BaseRepresentation
bin10111011100111…
…01010011110000
3111201011211011000
423232131103300
5400330244143
631304322000
74606106106
oct1356352360
9451154130
10196728048
11a1058770
1255a73300
13319acc3a
141c1adc76
151240ebd3
hexbb9d4f0

196728048 has 80 divisors (see below), whose sum is σ = 616032000. Its totient is φ = 59613120.

The previous prime is 196728023. The next prime is 196728073. The reversal of 196728048 is 840827691.

It is an interprime number because it is at equal distance from previous prime (196728023) and next prime (196728073).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 196727994 and 196728012.

It is a congruent number.

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, 15948 + ... + 25451.

It is an arithmetic number, because the mean of its divisors is an integer number (7700400).

Almost surely, 2196728048 is an apocalyptic number.

196728048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

196728048 is an abundant number, since it is smaller than the sum of its proper divisors (419303952).

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

196728048 is a wasteful number, since it uses less digits than its factorization.

196728048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41427 (or 41415 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 196728048 is about 14025.9776129866. The cubic root of 196728048 is about 581.5969150693.

The spelling of 196728048 in words is "one hundred ninety-six million, seven hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 41399 82798 124197 165596 248394 331192 372591 455389 496788 662384 745182 910778 993576 1117773 1366167 1490364 1821556 1987152 2235546 2732334 2980728 3643112 4098501 4471092 5464668 5961456 7286224 8197002 8942184 10929336 12295503 16394004 17884368 21858672 24591006 32788008 49182012 65576016 98364024 196728048