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146116352 = 281314357
BaseRepresentation
bin10001011010110…
…00111100000000
3101011221110221202
420231120330000
5244401210402
622255440332
73422653124
oct1055307400
9334843852
10146116352
117552a418
1240b260a8
132436c2a5
1415597584
15cc63b02
hex8b58f00

146116352 has 36 divisors (see below), whose sum is σ = 293955816. Its totient is φ = 72483840.

The previous prime is 146116339. The next prime is 146116357. The reversal of 146116352 is 253611641.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146116357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31358 + ... + 35714.

Almost surely, 2146116352 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 146116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146977908).

146116352 is an abundant number, since it is smaller than the sum of its proper divisors (147839464).

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

146116352 is an equidigital number, since it uses as much as digits as its factorization.

146116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4490 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 146116352 is about 12087.8596947516. The cubic root of 146116352 is about 526.7035840881.

Adding to 146116352 its reverse (253611641), we get a palindrome (399727993).

The spelling of 146116352 in words is "one hundred forty-six million, one hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 524 1048 2096 4192 4357 8384 8714 16768 17428 33536 34856 69712 139424 278848 557696 570767 1115392 1141534 2283068 4566136 9132272 18264544 36529088 73058176 146116352