Search a number
-
+
193827996 = 2232293153113
BaseRepresentation
bin10111000110110…
…01010010011100
3111111201111000200
423203121102130
5344104443441
631122223500
74542340125
oct1343312234
9444644020
10193827996
119a45792a
1254ab4b90
1331205c2b
141ba5704c
151203a7b6
hexb8d949c

193827996 has 144 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 58705920.

The previous prime is 193827971. The next prime is 193828003. The reversal of 193827996 is 699728391.

193827996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1715236 + ... + 1715348.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2193827996 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 193827996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

193827996 is an abundant number, since it is smaller than the sum of its proper divisors (343960164).

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

193827996 is a wasteful number, since it uses less digits than its factorization.

193827996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 193827996 is about 13922.2123241962. The cubic root of 193827996 is about 578.7248999621.

The spelling of 193827996 in words is "one hundred ninety-three million, eight hundred twenty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 53 58 62 87 93 106 113 116 124 159 174 186 212 226 261 279 318 339 348 372 452 477 522 558 636 678 899 954 1017 1044 1116 1356 1537 1643 1798 1908 2034 2697 3074 3277 3286 3503 3596 4068 4611 4929 5394 5989 6148 6554 6572 7006 8091 9222 9831 9858 10509 10788 11978 13108 13833 14012 14787 16182 17967 18444 19662 19716 21018 23956 27666 29493 29574 31527 32364 35934 39324 42036 47647 53901 55332 58986 59148 63054 71868 95294 101587 107802 117972 126108 142941 173681 185659 190588 203174 215604 285882 304761 347362 371318 406348 428823 521043 556977 571764 609522 694724 742636 857646 914283 1042086 1113954 1219044 1563129 1670931 1715292 1828566 2084172 2227908 3126258 3341862 3657132 5384111 6252516 6683724 10768222 16152333 21536444 32304666 48456999 64609332 96913998 193827996