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204404796 = 22351131861
BaseRepresentation
bin11000010111011…
…11100000111100
3112020121211200000
430023233200330
5404311423141
632141034300
75031261231
oct1413574074
9466554600
10204404796
11a5421392
1258555990
133346a1ab
141d20b788
1512e295b6
hexc2ef83c

204404796 has 72 divisors (see below), whose sum is σ = 540858864. Its totient is φ = 67495680.

The previous prime is 204404791. The next prime is 204404801. The reversal of 204404796 is 697404402.

It is an interprime number because it is at equal distance from previous prime (204404791) and next prime (204404801).

It is a super-4 number, since 4×2044047964 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 204404796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204404791) 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, 108906 + ... + 110766.

Almost surely, 2204404796 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 204404796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270429432).

204404796 is an abundant number, since it is smaller than the sum of its proper divisors (336454068).

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

204404796 is a wasteful number, since it uses less digits than its factorization.

204404796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 204404796 is about 14297.0205287675. The cubic root of 204404796 is about 589.0656435573.

The spelling of 204404796 in words is "two hundred four million, four hundred four thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 972 1017 1356 1861 2034 3051 3722 4068 5583 6102 7444 9153 11166 12204 16749 18306 22332 27459 33498 36612 50247 54918 66996 100494 109836 150741 200988 210293 301482 420586 452223 602964 630879 841172 904446 1261758 1808892 1892637 2523516 3785274 5677911 7570548 11355822 17033733 22711644 34067466 51101199 68134932 102202398 204404796