Search a number
-
+
189527952 = 24379151331
BaseRepresentation
bin10110100101111…
…11011110010000
3111012122000110210
423102333132100
5342004343302
630450124120
74460650425
oct1322773620
9435560423
10189527952
1197a90179
1253580640
133035b923
141b257d4c
151198b66c
hexb4bf790

189527952 has 80 divisors (see below), whose sum is σ = 500602880. Its totient is φ = 61776000.

The previous prime is 189527941. The next prime is 189527969. The reversal of 189527952 is 259725981.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 572427 + ... + 572757.

It is an arithmetic number, because the mean of its divisors is an integer number (6257536).

Almost surely, 2189527952 is an apocalyptic number.

189527952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189527952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250301440).

189527952 is an abundant number, since it is smaller than the sum of its proper divisors (311074928).

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

189527952 is a wasteful number, since it uses less digits than its factorization.

189527952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 566 counting only the distinct ones).

The product of its digits is 453600, while the sum is 48.

The square root of 189527952 is about 13766.9151228589. The cubic root of 189527952 is about 574.4132156342.

The spelling of 189527952 in words is "one hundred eighty-nine million, five hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 151 158 237 302 316 331 453 474 604 632 662 906 948 993 1208 1264 1324 1812 1896 1986 2416 2648 3624 3792 3972 5296 7248 7944 11929 15888 23858 26149 35787 47716 49981 52298 71574 78447 95432 99962 104596 143148 149943 156894 190864 199924 209192 286296 299886 313788 399848 418384 572592 599772 627576 799696 1199544 1255152 2399088 3948499 7896998 11845497 15793996 23690994 31587992 47381988 63175984 94763976 189527952