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146439768 = 23317243491
BaseRepresentation
bin10001011101001…
…11111001011000
3101012112220121010
420232213321120
5244442033033
622310413520
73425501046
oct1056477130
9335486533
10146439768
1175730402
12410612a0
1324453567
141563d396
15ccc9863
hex8ba7e58

146439768 has 96 divisors (see below), whose sum is σ = 398756160. Its totient is φ = 44782080.

The previous prime is 146439757. The next prime is 146439773. The reversal of 146439768 is 867934641.

It is a nialpdrome in base 15.

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, 298003 + ... + 298493.

It is an arithmetic number, because the mean of its divisors is an integer number (4153710).

Almost surely, 2146439768 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 146439768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199378080).

146439768 is an abundant number, since it is smaller than the sum of its proper divisors (252316392).

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

146439768 is a wasteful number, since it uses less digits than its factorization.

146439768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 556 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 146439768 is about 12101.2300201261. The cubic root of 146439768 is about 527.0919021133.

The spelling of 146439768 in words is "one hundred forty-six million, four hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 289 344 408 491 516 578 731 867 982 1032 1156 1462 1473 1734 1964 2193 2312 2924 2946 3468 3928 4386 5848 5892 6936 8347 8772 11784 12427 16694 17544 21113 24854 25041 33388 37281 42226 49708 50082 63339 66776 74562 84452 99416 100164 126678 141899 149124 168904 200328 253356 283798 298248 358921 425697 506712 567596 717842 851394 1076763 1135192 1435684 1702788 2153526 2871368 3405576 4307052 6101657 8614104 12203314 18304971 24406628 36609942 48813256 73219884 146439768