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36690444 = 22327197997
BaseRepresentation
bin1000101111110…
…1101000001100
32120001001211100
42023331220030
533343043234
63350223100
7623602140
oct213755014
976031740
1036690444
111979008a
1210354a90
1377a832b
144c31220
15334b399
hex22fda0c

36690444 has 144 divisors (see below), whose sum is σ = 114150400. Its totient is φ = 9704448.

The previous prime is 36690439. The next prime is 36690461. The reversal of 36690444 is 44409663.

36690444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 36690399 and 36690408.

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 47 ways as a sum of consecutive naturals, for example, 378204 + ... + 378300.

Almost surely, 236690444 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 36690444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57075200).

36690444 is an abundant number, since it is smaller than the sum of its proper divisors (77459956).

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

36690444 is a wasteful number, since it uses less digits than its factorization.

36690444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36690444 is about 6057.2637386860. The cubic root of 36690444 is about 332.2902938323.

The spelling of 36690444 in words is "thirty-six million, six hundred ninety thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 79 84 97 114 126 133 158 171 194 228 237 252 266 291 316 342 388 399 474 532 553 582 679 684 711 798 873 948 1106 1164 1197 1358 1422 1501 1596 1659 1746 1843 2037 2212 2394 2716 2844 3002 3318 3492 3686 4074 4503 4788 4977 5529 6004 6111 6636 7372 7663 8148 9006 9954 10507 11058 12222 12901 13509 15326 16587 18012 19908 21014 22116 22989 24444 25802 27018 30652 31521 33174 38703 42028 45978 51604 53641 54036 63042 66348 68967 77406 91956 94563 107282 116109 126084 137934 145597 154812 160923 189126 214564 232218 275868 291194 321846 378252 436791 464436 482769 582388 643692 873582 965538 1019179 1310373 1747164 1931076 2038358 2620746 3057537 4076716 5241492 6115074 9172611 12230148 18345222 36690444