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36113148 = 22331917599
BaseRepresentation
bin1000100111000…
…0101011111100
32111221201221000
42021300223330
533221110043
63330010300
7615646101
oct211605374
974851830
1036113148
1119426385
1210116990
137635636
144b20aa8
1532852d3
hex2270afc

36113148 has 48 divisors (see below), whose sum is σ = 98560000. Its totient is φ = 11403504.

The previous prime is 36113137. The next prime is 36113177. The reversal of 36113148 is 84131163.

36113148 is a `hidden beast` number, since 3 + 611 + 3 + 1 + 48 = 666.

36113148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6748 + ... + 10851.

Almost surely, 236113148 is an apocalyptic number.

36113148 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

36113148 is an abundant number, since it is smaller than the sum of its proper divisors (62446852).

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

36113148 is a wasteful number, since it uses less digits than its factorization.

36113148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17631 (or 17623 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 36113148 is about 6009.4216027834. The cubic root of 36113148 is about 330.5382950111.

The spelling of 36113148 in words is "thirty-six million, one hundred thirteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 17599 35198 52797 70396 105594 158391 211188 316782 334381 475173 633564 668762 950346 1003143 1337524 1900692 2006286 3009429 4012572 6018858 9028287 12037716 18056574 36113148