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36413468 = 22721331461
BaseRepresentation
bin1000101011101…
…0000000011100
32112111222212222
42022322000130
533310212333
63340244512
7621336500
oct212720034
975458788
1036413468
1119610a83
1210240738
13770c240
144b9c300
1532e4298
hex22ba01c

36413468 has 72 divisors (see below), whose sum is σ = 82583424. Its totient is φ = 13910400.

The previous prime is 36413467. The next prime is 36413483. The reversal of 36413468 is 86431463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36413467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78758 + ... + 79218.

It is an arithmetic number, because the mean of its divisors is an integer number (1146992).

Almost surely, 236413468 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 36413468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41291712).

36413468 is an abundant number, since it is smaller than the sum of its proper divisors (46169956).

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

36413468 is a wasteful number, since it uses less digits than its factorization.

36413468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 514 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 36413468 is about 6034.3572980061. The cubic root of 36413468 is about 331.4520282716.

The spelling of 36413468 in words is "thirty-six million, four hundred thirteen thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 182 196 217 364 403 434 461 637 806 868 922 1274 1519 1612 1844 2548 2821 3038 3227 5642 5993 6076 6454 11284 11986 12908 14291 19747 22589 23972 28582 39494 41951 45178 57164 78988 83902 90356 100037 167804 185783 200074 293657 371566 400148 587314 700259 743132 1174628 1300481 1400518 2600962 2801036 5201924 9103367 18206734 36413468