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36424242 = 235149503
BaseRepresentation
bin1000101011110…
…0101000110010
32112112112200000
42022330220302
533311033432
63340410430
7621413061
oct212745062
975475600
1036424242
1119619088
1210246a16
13771410a
144ba21d8
1532e757c
hex22bca32

36424242 has 48 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 12035952.

The previous prime is 36424211. The next prime is 36424247. The reversal of 36424242 is 24242463.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (36424247) 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, 72163 + ... + 72665.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 236424242 is an apocalyptic number.

36424242 is the 3018-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36424242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

36424242 is an abundant number, since it is smaller than the sum of its proper divisors (46130958).

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

36424242 is a wasteful number, since it uses less digits than its factorization.

36424242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 36424242 is about 6035.2499533988. The cubic root of 36424242 is about 331.4847150054.

The spelling of 36424242 in words is "thirty-six million, four hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 447 486 503 894 1006 1341 1509 2682 3018 4023 4527 8046 9054 12069 13581 24138 27162 36207 40743 72414 74947 81486 122229 149894 224841 244458 449682 674523 1349046 2023569 4047138 6070707 12141414 18212121 36424242