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146452964 = 22723492141
BaseRepresentation
bin10001011101010…
…11000111100100
3101012120120200212
420232223013210
5244442443324
622310554552
73425554400
oct1056530744
9335516625
10146452964
117573a309
1241068a58
1324459578
1415644100
15cccd70e
hex8bab1e4

146452964 has 36 divisors (see below), whose sum is σ = 299130300. Its totient is φ = 62556480.

The previous prime is 146452963. The next prime is 146452981. The reversal of 146452964 is 469254641.

146452964 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126382564 + 20070400 = 11242^2 + 4480^2 .

It is not an unprimeable number, because it can be changed into a prime (146452963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67334 + ... + 69474.

It is an arithmetic number, because the mean of its divisors is an integer number (8309175).

Almost surely, 2146452964 is an apocalyptic number.

146452964 is a gapful number since it is divisible by the number (14) 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 146452964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149565150).

146452964 is an abundant number, since it is smaller than the sum of its proper divisors (152677336).

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

146452964 is a wasteful number, since it uses less digits than its factorization.

146452964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2499 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 146452964 is about 12101.7752416743. The cubic root of 146452964 is about 527.1077340965.

The spelling of 146452964 in words is "one hundred forty-six million, four hundred fifty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 349 698 1396 2141 2443 4282 4886 8564 9772 14987 17101 29974 34202 59948 68404 104909 209818 419636 747209 1494418 2988836 5230463 10460926 20921852 36613241 73226482 146452964