Search a number
-
+
146049312 = 2531789491
BaseRepresentation
bin10001011010010…
…00100100100000
3101011211001222210
420231020210200
5244342034222
622254202120
73422253513
oct1055104440
9334731883
10146049312
1175494012
1240ab3340
1324347916
141557ad7a
15cc4dd0c
hex8b48920

146049312 has 48 divisors (see below), whose sum is σ = 405935712. Its totient is φ = 45818880.

The previous prime is 146049301. The next prime is 146049313. The reversal of 146049312 is 213940641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 146049312.

It is not an unprimeable number, because it can be changed into a prime (146049313) 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, 43114 + ... + 46377.

It is an arithmetic number, because the mean of its divisors is an integer number (8456994).

Almost surely, 2146049312 is an apocalyptic number.

146049312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146049312 is an abundant number, since it is smaller than the sum of its proper divisors (259886400).

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

146049312 is a wasteful number, since it uses less digits than its factorization.

146049312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89521 (or 89513 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 146049312 is about 12085.0863464023. The cubic root of 146049312 is about 526.6230190465.

Adding to 146049312 its reverse (213940641), we get a palindrome (359989953).

The spelling of 146049312 in words is "one hundred forty-six million, forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 89491 178982 268473 357964 536946 715928 1073892 1431856 1521347 2147784 2863712 3042694 4295568 4564041 6085388 8591136 9128082 12170776 18256164 24341552 36512328 48683104 73024656 146049312