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195396796 = 22753353373
BaseRepresentation
bin10111010010110…
…00010010111100
3111121200012000101
423221120102330
5400010144141
631220010444
74561562650
oct1351302274
9447605011
10195396796
11a0329561
1255530a24
133163500a
141bd44a60
151224a531
hexba584bc

195396796 has 48 divisors (see below), whose sum is σ = 400365504. Its totient is φ = 81709056.

The previous prime is 195396787. The next prime is 195396811. The reversal of 195396796 is 697693591.

195396796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

195396796 is a nontrivial binomial coefficient, being equal to C(19769, 2).

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, 523666 + ... + 524038.

It is an arithmetic number, because the mean of its divisors is an integer number (8340948).

Almost surely, 2195396796 is an apocalyptic number.

195396796 is the 19768-th triangular number.

195396796 is the 6590-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195396796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200182752).

195396796 is an abundant number, since it is smaller than the sum of its proper divisors (204968708).

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

195396796 is a wasteful number, since it uses less digits than its factorization.

195396796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 55.

The square root of 195396796 is about 13978.4403994151. The cubic root of 195396796 is about 580.2820625688.

It can be divided in two parts, 19539 and 6796, that added together give a triangular number (26335 = T229).

The spelling of 195396796 in words is "one hundred ninety-five million, three hundred ninety-six thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 53 106 212 353 371 373 706 742 746 1412 1484 1492 2471 2611 4942 5222 9884 10444 18709 19769 37418 39538 74836 79076 130963 131669 138383 261926 263338 276766 523852 526676 553532 921683 1843366 3686732 6978457 13956914 27913828 48849199 97698398 195396796