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142463776 = 25721329241
BaseRepresentation
bin10000111110111…
…01001100100000
3100221001220120011
420133131030200
5242432320101
622045254304
73346631200
oct1037351440
9327056504
10142463776
1173465164
123b864394
13236908c0
1414cc6400
15c791751
hex87dd320

142463776 has 144 divisors (see below), whose sum is σ = 364989240. Its totient is φ = 54190080.

The previous prime is 142463753. The next prime is 142463779. The reversal of 142463776 is 677364241.

It can be written as a sum of positive squares in 4 ways, for example, as 116208400 + 26255376 = 10780^2 + 5124^2 .

It is not an unprimeable number, because it can be changed into a prime (142463779) 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 23 ways as a sum of consecutive naturals, for example, 591016 + ... + 591256.

Almost surely, 2142463776 is an apocalyptic number.

142463776 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 142463776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182494620).

142463776 is an abundant number, since it is smaller than the sum of its proper divisors (222525464).

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

142463776 is a wasteful number, since it uses less digits than its factorization.

142463776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its digits is 169344, while the sum is 40.

The square root of 142463776 is about 11935.8190334807. The cubic root of 142463776 is about 522.2777009685.

The spelling of 142463776 in words is "one hundred forty-two million, four hundred sixty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 49 52 56 58 91 98 104 112 116 182 196 203 208 224 232 241 364 377 392 406 416 464 482 637 728 754 784 812 928 964 1274 1421 1456 1508 1568 1624 1687 1928 2548 2639 2842 2912 3016 3133 3248 3374 3856 5096 5278 5684 6032 6266 6496 6748 6989 7712 10192 10556 11368 11809 12064 12532 13496 13978 18473 20384 21112 21931 22736 23618 25064 26992 27956 36946 42224 43862 45472 47236 48923 50128 53984 55912 73892 84448 87724 90857 94472 97846 100256 111824 147784 153517 175448 181714 188944 195692 223648 295568 307034 342461 350896 363428 377888 391384 591136 614068 635999 684922 701792 726856 782768 1228136 1271998 1369844 1453712 1565536 2456272 2543996 2739688 2907424 4451993 4912544 5087992 5479376 8903986 10175984 10958752 17807972 20351968 35615944 71231888 142463776