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147142548 = 22337171072
BaseRepresentation
bin10001100010100…
…11011110010100
3101020212121122000
420301103132110
5300132030143
622333435300
73434456010
oct1061233624
9336777560
10147142548
1176070413
124133bb30
132463b3c7
1415783540
15cdb7bd3
hex8c53794

147142548 has 144 divisors (see below), whose sum is σ = 465978240. Its totient is φ = 39197952.

The previous prime is 147142547. The next prime is 147142561. The reversal of 147142548 is 845241741.

It is a happy number.

147142548 is a `hidden beast` number, since 1 + 4 + 71 + 42 + 548 = 666.

147142548 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147142547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1375111 + ... + 1375217.

It is an arithmetic number, because the mean of its divisors is an integer number (3235960).

Almost surely, 2147142548 is an apocalyptic number.

147142548 is a gapful number since it is divisible by the number (18) 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 147142548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232989120).

147142548 is an abundant number, since it is smaller than the sum of its proper divisors (318835692).

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

147142548 is a wasteful number, since it uses less digits than its factorization.

147142548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 136 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 147142548 is about 12130.2328089777. The cubic root of 147142548 is about 527.9337468522.

The spelling of 147142548 in words is "one hundred forty-seven million, one hundred forty-two thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 107 108 119 126 153 189 204 214 238 252 306 321 357 378 428 459 476 612 642 714 749 756 918 963 1071 1284 1428 1498 1819 1836 1926 2142 2247 2889 2996 3213 3638 3852 4284 4494 5457 5778 6426 6741 7276 8988 10914 11449 11556 12733 12852 13482 16371 20223 21828 22898 25466 26964 32742 34347 38199 40446 45796 49113 50932 65484 68694 76398 80143 80892 98226 103041 114597 137388 152796 160286 194633 196452 206082 229194 240429 309123 320572 343791 389266 412164 458388 480858 583899 618246 687582 721287 778532 961716 1167798 1236492 1362431 1375164 1442574 1751697 2163861 2335596 2724862 2885148 3503394 4087293 4327722 5255091 5449724 7006788 8174586 8655444 10510182 12261879 16349172 21020364 24523758 36785637 49047516 73571274 147142548