Search a number
-
+
36797868 = 22332931379
BaseRepresentation
bin1000110001011…
…1110110101100
32120020112012000
42030113312230
533410012433
63352412300
7624530262
oct214276654
976215160
1036797868
1119853868
12103a7090
1378151b3
144c5c432
15336d113
hex2317dac

36797868 has 96 divisors (see below), whose sum is σ = 102144000. Its totient is φ = 11430720.

The previous prime is 36797867. The next prime is 36797879. The reversal of 36797868 is 86879763.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36797863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96903 + ... + 97281.

It is an arithmetic number, because the mean of its divisors is an integer number (1064000).

Almost surely, 236797868 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 36797868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51072000).

36797868 is an abundant number, since it is smaller than the sum of its proper divisors (65346132).

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

36797868 is a wasteful number, since it uses less digits than its factorization.

36797868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 36797868 is about 6066.1246277999. The cubic root of 36797868 is about 332.6142762081.

The spelling of 36797868 in words is "thirty-six million, seven hundred ninety-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 87 93 108 116 124 174 186 261 279 348 372 379 522 558 758 783 837 899 1044 1116 1137 1516 1566 1674 1798 2274 2697 3132 3348 3411 3596 4548 5394 6822 8091 10233 10788 10991 11749 13644 16182 20466 21982 23498 24273 32364 32973 35247 40932 43964 46996 48546 65946 70494 97092 98919 105741 131892 140988 197838 211482 296757 317223 340721 395676 422964 593514 634446 681442 1022163 1187028 1268892 1362884 2044326 3066489 4088652 6132978 9199467 12265956 18398934 36797868