Search a number
-
+
993857396 = 227219318609
BaseRepresentation
bin111011001111010…
…000111101110100
32120021010012001012
4323033100331310
54013411414041
6242341451352
733425435300
oct7317207564
92507105035
10993857396
11470008854
12238a10b58
1312ab992cc
1495dccd00
155c3bb3eb
hex3b3d0f74

993857396 has 72 divisors (see below), whose sum is σ = 2198649600. Its totient is φ = 390458880.

The previous prime is 993857363. The next prime is 993857399. The reversal of 993857396 is 693758399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993857399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111140 + ... + 119748.

It is an arithmetic number, because the mean of its divisors is an integer number (30536800).

Almost surely, 2993857396 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 993857396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099324800).

993857396 is an abundant number, since it is smaller than the sum of its proper divisors (1204792204).

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

993857396 is a wasteful number, since it uses less digits than its factorization.

993857396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8677 (or 8668 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 59.

The square root of 993857396 is about 31525.5038976382. The cubic root of 993857396 is about 997.9482585695.

The spelling of 993857396 in words is "nine hundred ninety-three million, eight hundred fifty-seven thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 196 217 266 434 532 589 868 931 1178 1519 1862 2356 3038 3724 4123 6076 8246 8609 16492 17218 28861 34436 57722 60263 115444 120526 163571 241052 266879 327142 421841 533758 654284 843682 1067516 1144997 1687364 1868153 2289994 3736306 4579988 5070701 7472612 8014979 10141402 13077071 16029958 20282804 26154142 32059916 35494907 52308284 70989814 141979628 248464349 496928698 993857396