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36676896 = 253715381
BaseRepresentation
bin1000101111101…
…0010100100000
32120000101020120
42023322110200
533342130041
63350040240
7623514504
oct213722440
976011216
1036676896
1119780993
1210349080
1377a2109
144c2a304
153347366
hex22fa520

36676896 has 48 divisors (see below), whose sum is σ = 97651008. Its totient is φ = 12051200.

The previous prime is 36676883. The next prime is 36676903. The reversal of 36676896 is 69867663.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4126 + ... + 9506.

It is an arithmetic number, because the mean of its divisors is an integer number (2034396).

Almost surely, 236676896 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 36676896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48825504).

36676896 is an abundant number, since it is smaller than the sum of its proper divisors (60974112).

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

36676896 is a wasteful number, since it uses less digits than its factorization.

36676896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5457 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 36676896 is about 6056.1453086927. The cubic root of 36676896 is about 332.2493892385.

The spelling of 36676896 in words is "thirty-six million, six hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 5381 6816 10762 16143 21524 32286 43048 64572 86096 129144 172192 258288 382051 516576 764102 1146153 1528204 2292306 3056408 4584612 6112816 9169224 12225632 18338448 36676896