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36381696 = 210313911
BaseRepresentation
bin1000101011001…
…0010000000000
32112110101022020
42022302100000
533303203241
63335441440
7621145041
oct212622000
975411266
1036381696
111959a11a
1210226280
1376ca940
144b908c8
1532d9b66
hex22b2400

36381696 has 88 divisors (see below), whose sum is σ = 104544384. Its totient is φ = 11182080.

The previous prime is 36381647. The next prime is 36381703. The reversal of 36381696 is 69618363.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39481 + ... + 40391.

Almost surely, 236381696 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 36381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52272192).

36381696 is an abundant number, since it is smaller than the sum of its proper divisors (68162688).

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

36381696 is a wasteful number, since it uses less digits than its factorization.

36381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 929 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 36381696 is about 6031.7241316227. The cubic root of 36381696 is about 331.3555991318.

The spelling of 36381696 in words is "thirty-six million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 911 1024 1248 1536 1664 1822 2496 2733 3072 3328 3644 4992 5466 6656 7288 9984 10932 11843 13312 14576 19968 21864 23686 29152 35529 39936 43728 47372 58304 71058 87456 94744 116608 142116 174912 189488 233216 284232 349824 378976 466432 568464 699648 757952 932864 1136928 1399296 1515904 2273856 2798592 3031808 4547712 6063616 9095424 12127232 18190848 36381696