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147446244 = 22341123761
BaseRepresentation
bin10001100100111…
…01100111100100
3101021110001020000
420302131213210
5300221234434
622344141300
73440162301
oct1062354744
9337401200
10147446244
1176258600
1241467830
13247166ca
14158220a8
15ce27b99
hex8c9d9e4

147446244 has 90 divisors (see below), whose sum is σ = 423793062. Its totient is φ = 44668800.

The previous prime is 147446239. The next prime is 147446249. The reversal of 147446244 is 442644741.

147446244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147446239) and next prime (147446249).

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 24502500 = 11088^2 + 4950^2 .

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 = 147446199 and 147446208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147446249) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37324 + ... + 41084.

Almost surely, 2147446244 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 147446244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211896531).

147446244 is an abundant number, since it is smaller than the sum of its proper divisors (276346818).

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

147446244 is a wasteful number, since it uses less digits than its factorization.

147446244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3777 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 147446244 is about 12142.7445003179. The cubic root of 147446244 is about 528.2967082343.

The spelling of 147446244 in words is "one hundred forty-seven million, four hundred forty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 3761 4356 6534 7522 9801 11283 13068 15044 19602 22566 33849 39204 41371 45132 67698 82742 101547 124113 135396 165484 203094 248226 304641 372339 406188 455081 496452 609282 744678 910162 1117017 1218564 1365243 1489356 1820324 2234034 2730486 3351051 4095729 4468068 5460972 6702102 8191458 12287187 13404204 16382916 24574374 36861561 49148748 73723122 147446244