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194738752 = 26131997127
BaseRepresentation
bin10111001101101…
…11101001000000
3111120102202100101
423212313221000
5344323120002
631153532144
74553152315
oct1346675100
9446382311
10194738752
119aa1a11a
1255274054
1331464640
141bc12d0c
151216a587
hexb9b7a40

194738752 has 112 divisors (see below), whose sum is σ = 446064640. Its totient is φ = 83607552.

The previous prime is 194738749. The next prime is 194738759. The reversal of 194738752 is 257837491.

194738752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (194738759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533313 + ... + 1533439.

It is an arithmetic number, because the mean of its divisors is an integer number (3982720).

Almost surely, 2194738752 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 194738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223032320).

194738752 is an abundant number, since it is smaller than the sum of its proper divisors (251325888).

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

194738752 is a wasteful number, since it uses less digits than its factorization.

194738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The square root of 194738752 is about 13954.8827297115. The cubic root of 194738752 is about 579.6299184896.

The spelling of 194738752 in words is "one hundred ninety-four million, seven hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 97 104 127 152 194 208 247 254 304 388 416 494 508 608 776 832 988 1016 1216 1261 1552 1651 1843 1976 2032 2413 2522 3104 3302 3686 3952 4064 4826 5044 6208 6604 7372 7904 8128 9652 10088 12319 13208 14744 15808 19304 20176 23959 24638 26416 29488 31369 38608 40352 47918 49276 52832 58976 62738 77216 80704 95836 98552 105664 117952 125476 154432 160147 191672 197104 234061 250952 320294 383344 394208 468122 501904 640588 766688 788416 936244 1003808 1281176 1533376 1872488 2007616 2562352 3042793 3744976 5124704 6085586 7489952 10249408 12171172 14979904 24342344 48684688 97369376 194738752