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147948444 = 2234729319
BaseRepresentation
bin10001101000110…
…00001110011100
3101022101120010000
420310120032130
5300333322234
622403014300
73444353400
oct1064301634
9338346100
10147948444
1176570946
124166a390
1324861177
1415913100
15cec6899
hex8d1839c

147948444 has 90 divisors (see below), whose sum is σ = 449960280. Its totient is φ = 42266448.

The previous prime is 147948407. The next prime is 147948487. The reversal of 147948444 is 444849741.

It is a super-2 number, since 2×1479484442 = 43777484164042272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147948444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11217 + ... + 20535.

Almost surely, 2147948444 is an apocalyptic number.

147948444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147948444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224980140).

147948444 is an abundant number, since it is smaller than the sum of its proper divisors (302011836).

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

147948444 is a wasteful number, since it uses less digits than its factorization.

147948444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349 (or 9331 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 147948444 is about 12163.4059374831. The cubic root of 147948444 is about 528.8958191454.

The spelling of 147948444 in words is "one hundred forty-seven million, nine hundred forty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 9319 15876 18638 27957 37276 55914 65233 83871 111828 130466 167742 195699 251613 260932 335484 391398 456631 503226 587097 754839 782796 913262 1006452 1174194 1369893 1509678 1761291 1826524 2348388 2739786 3019356 3522582 4109679 5283873 5479572 7045164 8219358 10567746 12329037 16438716 21135492 24658074 36987111 49316148 73974222 147948444