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36076572 = 22327239599
BaseRepresentation
bin1000100110011…
…1110000011100
32111212212202100
42021213300130
533213422242
63325125100
7615434340
oct211476034
974785670
1036076572
1119400954
12100b9790
137621aac
144b11620
15327954c
hex2267c1c

36076572 has 72 divisors (see below), whose sum is σ = 104832000. Its totient is φ = 10247328.

The previous prime is 36076571. The next prime is 36076577. The reversal of 36076572 is 27567063.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36076571) 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, 59929 + ... + 60527.

It is an arithmetic number, because the mean of its divisors is an integer number (1456000).

Almost surely, 236076572 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 36076572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416000).

36076572 is an abundant number, since it is smaller than the sum of its proper divisors (68755428).

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

36076572 is a wasteful number, since it uses less digits than its factorization.

36076572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 36076572 is about 6006.3776105070. The cubic root of 36076572 is about 330.4266657457.

The spelling of 36076572 in words is "thirty-six million, seventy-six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 239 252 478 599 717 956 1198 1434 1673 1797 2151 2396 2868 3346 3594 4193 4302 5019 5391 6692 7188 8386 8604 10038 10782 12579 15057 16772 20076 21564 25158 30114 37737 50316 60228 75474 143161 150948 286322 429483 572644 858966 1002127 1288449 1717932 2004254 2576898 3006381 4008508 5153796 6012762 9019143 12025524 18038286 36076572