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142472832 = 2733111193
BaseRepresentation
bin10000111110111…
…11011010000000
3100221002100222120
420133133122000
5242433112312
622045404240
73346666455
oct1037373200
9327070876
10142472832
1173470a47
123b869680
1323694a68
1414cc982c
15c79428c
hex87df680

142472832 has 64 divisors (see below), whose sum is σ = 379978560. Its totient is φ = 47298560.

The previous prime is 142472831. The next prime is 142472873. The reversal of 142472832 is 238274241.

It is a happy number.

142472832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 142472793 and 142472802.

It is not an unprimeable number, because it can be changed into a prime (142472831) 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, 118828 + ... + 120020.

It is an arithmetic number, because the mean of its divisors is an integer number (5937165).

Almost surely, 2142472832 is an apocalyptic number.

142472832 is a gapful number since it is divisible by the number (12) 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 142472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189989280).

142472832 is an abundant number, since it is smaller than the sum of its proper divisors (237505728).

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

142472832 is a wasteful number, since it uses less digits than its factorization.

142472832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1509 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 142472832 is about 11936.1983897722. The cubic root of 142472832 is about 522.2887672825.

The spelling of 142472832 in words is "one hundred forty-two million, four hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 622 933 1193 1244 1866 2386 2488 3579 3732 4772 4976 7158 7464 9544 9952 14316 14928 19088 19904 28632 29856 38176 39808 57264 59712 76352 114528 119424 152704 229056 371023 458112 742046 1113069 1484092 2226138 2968184 4452276 5936368 8904552 11872736 17809104 23745472 35618208 47490944 71236416 142472832