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147418944 = 2634161307
BaseRepresentation
bin10001100100101…
…10111101000000
3101021101122202220
420302112331000
5300214401234
622343411040
73440016561
oct1062267500
9337348686
10147418944
117623a042
1241453a80
132470715a
1415816168
15ce1ea49
hex8c96f40

147418944 has 112 divisors (see below), whose sum is σ = 407432256. Its totient is φ = 47001600.

The previous prime is 147418927. The next prime is 147418949. The reversal of 147418944 is 449814741.

It is a junction number, because it is equal to n+sod(n) for n = 147418896 and 147418905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147418949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480039 + ... + 480345.

It is an arithmetic number, because the mean of its divisors is an integer number (3637788).

Almost surely, 2147418944 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 147418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203716128).

147418944 is an abundant number, since it is smaller than the sum of its proper divisors (260013312).

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

147418944 is a wasteful number, since it uses less digits than its factorization.

147418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 147418944 is about 12141.6203202044. The cubic root of 147418944 is about 528.2641011183.

The spelling of 147418944 in words is "one hundred forty-seven million, four hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 61 64 82 96 122 123 164 183 192 244 246 307 328 366 488 492 614 656 732 921 976 984 1228 1312 1464 1842 1952 1968 2456 2501 2624 2928 3684 3904 3936 4912 5002 5856 7368 7503 7872 9824 10004 11712 12587 14736 15006 18727 19648 20008 25174 29472 30012 37454 37761 40016 50348 56181 58944 60024 74908 75522 80032 100696 112362 120048 149816 151044 160064 201392 224724 240096 299632 302088 402784 449448 480192 599264 604176 767807 805568 898896 1198528 1208352 1535614 1797792 2303421 2416704 3071228 3595584 4606842 6142456 9213684 12284912 18427368 24569824 36854736 49139648 73709472 147418944