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146048500 = 22531322469
BaseRepresentation
bin10001011010010…
…00010111110100
3101011211000212201
420231020113310
5244342023000
622254154244
73422251243
oct1055102764
9334730781
10146048500
1175493444
1240ab2984
1324347440
141557a95a
15cc4d96a
hex8b485f4

146048500 has 48 divisors (see below), whose sum is σ = 343521360. Its totient is φ = 53923200.

The previous prime is 146048467. The next prime is 146048501. The reversal of 146048500 is 5840641.

It can be written as a sum of positive squares in 8 ways, for example, as 55532304 + 90516196 = 7452^2 + 9514^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146048501) 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 15 ways as a sum of consecutive naturals, for example, 4735 + ... + 17734.

It is an arithmetic number, because the mean of its divisors is an integer number (7156695).

Almost surely, 2146048500 is an apocalyptic number.

146048500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146048500 is an abundant number, since it is smaller than the sum of its proper divisors (197472860).

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

146048500 is a wasteful number, since it uses less digits than its factorization.

146048500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22501 (or 22489 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 146048500 is about 12085.0527512295. The cubic root of 146048500 is about 526.6220430778.

It can be divided in two parts, 14604 and 8500, that added together give a square (23104 = 1522).

The spelling of 146048500 in words is "one hundred forty-six million, forty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 22469 44938 89876 112345 224690 292097 449380 561725 584194 1123450 1168388 1460485 2246900 2808625 2920970 5617250 5841940 7302425 11234500 14604850 29209700 36512125 73024250 146048500