Search a number
-
+
145500462 = 2347911369
BaseRepresentation
bin10001010110000…
…10100100101110
3101010210012010000
420223002210232
5244222003322
622234325130
73414506412
oct1053024456
9333705100
10145500462
1175149718
12408897a6
13241b4b63
1415476d42
15cb913ac
hex8ac292e

145500462 has 40 divisors (see below), whose sum is σ = 330184800. Its totient is φ = 47882016.

The previous prime is 145500451. The next prime is 145500469. The reversal of 145500462 is 264005541.

It is a super-3 number, since 3×1455004623 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145500469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7114 + ... + 18482.

It is an arithmetic number, because the mean of its divisors is an integer number (8254620).

Almost surely, 2145500462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145500462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165092400).

145500462 is an abundant number, since it is smaller than the sum of its proper divisors (184684338).

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

145500462 is a wasteful number, since it uses less digits than its factorization.

145500462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11462 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 145500462 is about 12062.3572323157. The cubic root of 145500462 is about 525.9625118459.

The spelling of 145500462 in words is "one hundred forty-five million, five hundred thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 474 711 1422 2133 4266 6399 11369 12798 22738 34107 68214 102321 204642 306963 613926 898151 920889 1796302 1841778 2694453 5388906 8083359 16166718 24250077 48500154 72750231 145500462