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36482004 = 223213137569
BaseRepresentation
bin1000101100101…
…0101111010100
32112122110220100
42023022233110
533314411004
63341534100
7622043346
oct213125724
975573810
1036482004
1119658519
1210274330
1377344b0
144bb9296
153309739
hex22cabd4

36482004 has 72 divisors (see below), whose sum is σ = 100212840. Its totient is φ = 11123712.

The previous prime is 36481999. The next prime is 36482021. The reversal of 36482004 is 40028463.

36482004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 36360900 = 348^2 + 6030^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63832 + ... + 64400.

It is an arithmetic number, because the mean of its divisors is an integer number (1391845).

Almost surely, 236482004 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 36482004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50106420).

36482004 is an abundant number, since it is smaller than the sum of its proper divisors (63730836).

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

36482004 is a wasteful number, since it uses less digits than its factorization.

36482004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 36482004 is about 6040.0334436160. The cubic root of 36482004 is about 331.6598466089.

The spelling of 36482004 in words is "thirty-six million, four hundred eighty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 234 274 411 468 548 569 822 1138 1233 1644 1707 1781 2276 2466 3414 3562 4932 5121 5343 6828 7124 7397 10242 10686 14794 16029 20484 21372 22191 29588 32058 44382 64116 66573 77953 88764 133146 155906 233859 266292 311812 467718 701577 935436 1013389 1403154 2026778 2806308 3040167 4053556 6080334 9120501 12160668 18241002 36482004