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196938048 = 2631377487
BaseRepresentation
bin10111011110100…
…00100101000000
3111201120111012210
423233100211000
5400404004143
631313022120
74610642256
oct1357204500
9451514183
10196938048
11a119151a
1255b54940
1331a546b8
141c2265d6
1512452033
hexbbd0940

196938048 has 56 divisors (see below), whose sum is σ = 524938752. Its totient is φ = 65158144.

The previous prime is 196938041. The next prime is 196938083. The reversal of 196938048 is 840839691.

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

It is a junction number, because it is equal to n+sod(n) for n = 196937988 and 196938006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196938041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22561 + ... + 30047.

Almost surely, 2196938048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262469376).

196938048 is an abundant number, since it is smaller than the sum of its proper divisors (328000704).

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

196938048 is a wasteful number, since it uses less digits than its factorization.

196938048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639 (or 7629 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 196938048 is about 14033.4617254618. The cubic root of 196938048 is about 581.8037859601.

The spelling of 196938048 in words is "one hundred ninety-six million, nine hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 6576 7487 8768 13152 14974 22461 26304 29948 44922 59896 89844 119792 179688 239584 359376 479168 718752 1025719 1437504 2051438 3077157 4102876 6154314 8205752 12308628 16411504 24617256 32823008 49234512 65646016 98469024 196938048