Search a number
-
+
147434976 = 25321353743
BaseRepresentation
bin10001100100110…
…10110111100000
3101021102110202200
420302122313200
5300220404401
622344013200
73440114403
oct1062326740
9337373680
10147434976
1176250097
1241461200
1324711540
141581bd3a
15ce24686
hex8c9ade0

147434976 has 144 divisors (see below), whose sum is σ = 460658016. Its totient is φ = 44448768.

The previous prime is 147434957. The next prime is 147434983. The reversal of 147434976 is 679434741.

147434976 is a `hidden beast` number, since 147 + 434 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 198061 + ... + 198803.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2147434976 is an apocalyptic number.

147434976 is a gapful number since it is divisible by the number (16) 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 147434976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329008).

147434976 is an abundant number, since it is smaller than the sum of its proper divisors (313223040).

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

147434976 is a wasteful number, since it uses less digits than its factorization.

147434976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 814 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 147434976 is about 12142.2805106784. The cubic root of 147434976 is about 528.2832502246.

The spelling of 147434976 in words is "one hundred forty-seven million, four hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 72 78 96 104 106 117 144 156 159 208 212 234 288 312 318 416 424 468 477 624 636 689 743 848 936 954 1248 1272 1378 1486 1696 1872 1908 2067 2229 2544 2756 2972 3744 3816 4134 4458 5088 5512 5944 6201 6687 7632 8268 8916 9659 11024 11888 12402 13374 15264 16536 17832 19318 22048 23776 24804 26748 28977 33072 35664 38636 39379 49608 53496 57954 66144 71328 77272 78758 86931 99216 106992 115908 118137 154544 157516 173862 198432 213984 231816 236274 309088 315032 347724 354411 463632 472548 511927 630064 695448 708822 927264 945096 1023854 1260128 1390896 1417644 1535781 1890192 2047708 2781792 2835288 3071562 3780384 4095416 4607343 5670576 6143124 8190832 9214686 11341152 12286248 16381664 18429372 24572496 36858744 49144992 73717488 147434976