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142522816 = 2637139433
BaseRepresentation
bin10000111111010…
…11100111000000
3100221011220112211
420133223213000
5242441212231
622050431504
73350265262
oct1037534700
9327156484
10142522816
11734a5557
123b892594
13236b1737
1414cddb32
15c7a3eb1
hex87eb9c0

142522816 has 56 divisors (see below), whose sum is σ = 293227760. Its totient is φ = 68677632.

The previous prime is 142522813. The next prime is 142522859. The reversal of 142522816 is 618225241.

142522816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142522811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328936 + ... + 329368.

It is an arithmetic number, because the mean of its divisors is an integer number (5236210).

Almost surely, 2142522816 is an apocalyptic number.

142522816 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 142522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146613880).

142522816 is an abundant number, since it is smaller than the sum of its proper divisors (150704944).

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

142522816 is a wasteful number, since it uses less digits than its factorization.

142522816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 611 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 142522816 is about 11938.2920051404. The cubic root of 142522816 is about 522.3498386438.

The spelling of 142522816 in words is "one hundred forty-two million, five hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 139 148 278 296 433 556 592 866 1112 1184 1732 2224 2368 3464 4448 5143 6928 8896 10286 13856 16021 20572 27712 32042 41144 60187 64084 82288 120374 128168 164576 240748 256336 329152 481496 512672 962992 1025344 1925984 2226919 3851968 4453838 8907676 17815352 35630704 71261408 142522816