Search a number
-
+
91370052 = 22338310193
BaseRepresentation
bin1010111001000…
…11001001000100
320100221002011000
411130203021010
5141342320202
613022213300
72156426664
oct534431104
9210832130
1091370052
1147637744
1226724230
1315c11727
14c1c61a4
15804c91c
hex5723244

91370052 has 48 divisors (see below), whose sum is σ = 239762880. Its totient is φ = 30086784.

The previous prime is 91370047. The next prime is 91370077. The reversal of 91370052 is 25007319.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 91369998 and 91370025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3868 + ... + 14060.

It is an arithmetic number, because the mean of its divisors is an integer number (4995060).

Almost surely, 291370052 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 91370052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119881440).

91370052 is an abundant number, since it is smaller than the sum of its proper divisors (148392828).

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

91370052 is a wasteful number, since it uses less digits than its factorization.

91370052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 91370052 is about 9558.7683307004. The cubic root of 91370052 is about 450.4030167312.

The spelling of 91370052 in words is "ninety-one million, three hundred seventy thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 10193 20386 30579 40772 61158 91737 122316 183474 275211 366948 550422 846019 1100844 1692038 2538057 3384076 5076114 7614171 10152228 15228342 22842513 30456684 45685026 91370052