Search a number
-
+
514052144 = 24192958309
BaseRepresentation
bin11110101000111…
…101000000110000
31022211021112222022
4132220331000300
52023044132034
6123001531012
715511241204
oct3650750060
91284245868
10514052144
11244194a91
121241a3a68
1382665188
144c3b2b04
15301e1b2e
hex1ea3d030

514052144 has 40 divisors (see below), whose sum is σ = 1084566000. Its totient is φ = 235097856.

The previous prime is 514052111. The next prime is 514052153. The reversal of 514052144 is 441250415.

514052144 = T361 + T362 + ... + T1462.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20339 + ... + 37970.

It is an arithmetic number, because the mean of its divisors is an integer number (27114150).

Almost surely, 2514052144 is an apocalyptic number.

It is an amenable number.

514052144 is an abundant number, since it is smaller than the sum of its proper divisors (570513856).

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

514052144 is a wasteful number, since it uses less digits than its factorization.

514052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58365 (or 58359 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 514052144 is about 22672.7180549664. The cubic root of 514052144 is about 801.0674001876.

The spelling of 514052144 in words is "five hundred fourteen million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 551 1102 2204 4408 8816 58309 116618 233236 466472 932944 1107871 1690961 2215742 3381922 4431484 6763844 8862968 13527688 17725936 27055376 32128259 64256518 128513036 257026072 514052144