Search a number
-
+
159000444 = 223283127419
BaseRepresentation
bin10010111101000…
…10011101111100
3102002012001121100
421132202131330
5311201003234
623435533100
73640324101
oct1136423574
9362161540
10159000444
118182a429
12452ba190
1326c30805
141718caa8
15de5b399
hex97a277c

159000444 has 72 divisors (see below), whose sum is σ = 410941440. Its totient is φ = 51825312.

The previous prime is 159000431. The next prime is 159000451. The reversal of 159000444 is 444000951.

It is a super-2 number, since 2×1590004442 = 50562282384394272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379267 + ... + 379685.

It is an arithmetic number, because the mean of its divisors is an integer number (5707520).

Almost surely, 2159000444 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 159000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205470720).

159000444 is an abundant number, since it is smaller than the sum of its proper divisors (251940996).

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

159000444 is a wasteful number, since it uses less digits than its factorization.

159000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 159000444 is about 12609.5378186514. The cubic root of 159000444 is about 541.7506557678.

The spelling of 159000444 in words is "one hundred fifty-nine million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 83 127 166 249 254 332 381 419 498 508 747 762 838 996 1143 1257 1494 1524 1676 2286 2514 2988 3771 4572 5028 7542 10541 15084 21082 31623 34777 42164 53213 63246 69554 94869 104331 106426 126492 139108 159639 189738 208662 212852 312993 319278 379476 417324 478917 625986 638556 957834 1251972 1915668 4416679 8833358 13250037 17666716 26500074 39750111 53000148 79500222 159000444