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36096372 = 223213217349
BaseRepresentation
bin1000100110110…
…0100101110100
32111220212220200
42021230211310
533220040442
63325400500
7615546144
oct211544564
974825820
1036096372
1119414814
1210109130
13762ab00
144b18924
15328034c
hex226c974

36096372 has 108 divisors (see below), whose sum is σ = 104913900. Its totient is φ = 10423296.

The previous prime is 36096337. The next prime is 36096419. The reversal of 36096372 is 27369063.

It can be written as a sum of positive squares in 6 ways, for example, as 527076 + 35569296 = 726^2 + 5964^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103254 + ... + 103602.

It is an arithmetic number, because the mean of its divisors is an integer number (971425).

Almost surely, 236096372 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 36096372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52456950).

36096372 is an abundant number, since it is smaller than the sum of its proper divisors (68817528).

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

36096372 is a wasteful number, since it uses less digits than its factorization.

36096372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 36096372 is about 6008.0256324353. The cubic root of 36096372 is about 330.4871043358.

The spelling of 36096372 in words is "thirty-six million, ninety-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 169 204 221 234 306 338 349 442 468 507 612 663 676 698 884 1014 1047 1326 1396 1521 1989 2028 2094 2652 2873 3042 3141 3978 4188 4537 5746 5933 6084 6282 7956 8619 9074 11492 11866 12564 13611 17238 17799 18148 23732 25857 27222 34476 35598 40833 51714 53397 54444 58981 71196 77129 81666 103428 106794 117962 154258 163332 176943 213588 231387 235924 308516 353886 462774 530829 694161 707772 925548 1002677 1061658 1388322 2005354 2123316 2776644 3008031 4010708 6016062 9024093 12032124 18048186 36096372