Search a number
-
+
66951444 = 22372313673
BaseRepresentation
bin1111111101100…
…1100100010100
311122222111010010
43333121210110
5114114421234
610351000220
71442035500
oct377314424
9148874103
1066951444
113487967a
121a509070
1310b42051
148c6b300
155d276e9
hex3fd9914

66951444 has 72 divisors (see below), whose sum is σ = 187638528. Its totient is φ = 18506880.

The previous prime is 66951433. The next prime is 66951449. The reversal of 66951444 is 44415966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66951449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16392 + ... + 20064.

Almost surely, 266951444 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 66951444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93819264).

66951444 is an abundant number, since it is smaller than the sum of its proper divisors (120687084).

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

66951444 is a wasteful number, since it uses less digits than its factorization.

66951444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3716 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 66951444 is about 8182.3862045249. The cubic root of 66951444 is about 406.0566706467.

It can be divided in two parts, 66 and 951444, that added together give a triangular number (951510 = T1379).

The spelling of 66951444 in words is "sixty-six million, nine hundred fifty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1302 1519 2604 3038 3673 4557 6076 7346 9114 11019 14692 18228 22038 25711 44076 51422 77133 102844 113863 154266 179977 227726 308532 341589 359954 455452 539931 683178 719908 797041 1079862 1366356 1594082 2159724 2391123 3188164 4782246 5579287 9564492 11158574 16737861 22317148 33475722 66951444