Search a number
-
+
91051048 = 2311317503
BaseRepresentation
bin1010110110101…
…01010000101000
320100022212120001
411123111100220
5141302113143
613011312344
72153630644
oct533252050
9210285501
1091051048
114743a000
12265ab6b4
1315b2c47a
14c141c24
157ed814d
hex56d5428

91051048 has 64 divisors (see below), whose sum is σ = 199221120. Its totient is φ = 38874880.

The previous prime is 91051027. The next prime is 91051049. The reversal of 91051048 is 84015019.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (91051049) 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, 180765 + ... + 181267.

It is an arithmetic number, because the mean of its divisors is an integer number (3112830).

Almost surely, 291051048 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 91051048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99610560).

91051048 is an abundant number, since it is smaller than the sum of its proper divisors (108170072).

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

91051048 is a wasteful number, since it uses less digits than its factorization.

91051048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 91051048 is about 9542.0672812551. The cubic root of 91051048 is about 449.8782353677.

It can be divided in two parts, 9105 and 1048, that added together give a triangular number (10153 = T142).

The spelling of 91051048 in words is "ninety-one million, fifty-one thousand, forty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 503 748 968 1006 1331 1496 2012 2057 2662 4024 4114 5324 5533 8228 8551 10648 11066 16456 17102 22132 22627 34204 44264 45254 60863 68408 90508 94061 121726 181016 188122 243452 376244 486904 669493 752488 1034671 1338986 2069342 2677972 4138684 5355944 8277368 11381381 22762762 45525524 91051048