Search a number
-
+
444050152 = 237213791103
BaseRepresentation
bin11010011101111…
…010101011101000
31010221120002021221
4122131322223220
51402134101102
6112021311424
714001235600
oct3235725350
91127502257
10444050152
112087224a7
12104865574
1370cc5790
1442d8dc00
1528eb5637
hex1a77aae8

444050152 has 96 divisors (see below), whose sum is σ = 1057190400. Its totient is φ = 173287296.

The previous prime is 444050147. The next prime is 444050203. The reversal of 444050152 is 251050444.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402033 + ... + 403135.

It is an arithmetic number, because the mean of its divisors is an integer number (11012400).

Almost surely, 2444050152 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 444050152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528595200).

444050152 is an abundant number, since it is smaller than the sum of its proper divisors (613140248).

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

444050152 is a wasteful number, since it uses less digits than its factorization.

444050152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 444050152 is about 21072.4975263968. The cubic root of 444050152 is about 762.9170855108.

The spelling of 444050152 in words is "four hundred forty-four million, fifty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 79 91 98 104 158 182 196 316 364 392 553 632 637 728 1027 1103 1106 1274 2054 2206 2212 2548 3871 4108 4412 4424 5096 7189 7721 7742 8216 8824 14339 14378 15442 15484 28678 28756 30884 30968 50323 54047 57356 57512 61768 87137 100373 100646 108094 114712 174274 200746 201292 216188 348548 401492 402584 432376 609959 697096 702611 802984 1132781 1219918 1405222 2265562 2439836 2810444 4269713 4531124 4879672 5620888 7929467 8539426 9062248 15858934 17078852 31717868 34157704 55506269 63435736 111012538 222025076 444050152