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145053486 = 232171961409
BaseRepresentation
bin10001010010101…
…01011100101110
3101002221110222100
420221111130232
5244113202421
622220555530
73410635314
oct1051253456
9332843870
10145053486
1174973916
12406b2ba6
1324089586
141539c0b4
15cb03c26
hex8a5572e

145053486 has 96 divisors (see below), whose sum is σ = 356896800. Its totient is φ = 42301440.

The previous prime is 145053413. The next prime is 145053487. The reversal of 145053486 is 684350541.

It is a happy number.

145053486 is a `hidden beast` number, since 1 + 45 + 0 + 534 + 86 = 666.

145053486 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 is a self number, because there is not a number n which added to its sum of digits gives 145053486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145053487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354450 + ... + 354858.

It is an arithmetic number, because the mean of its divisors is an integer number (3717675).

Almost surely, 2145053486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145053486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178448400).

145053486 is an abundant number, since it is smaller than the sum of its proper divisors (211843314).

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

145053486 is a wasteful number, since it uses less digits than its factorization.

145053486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 145053486 is about 12043.8152592939. The cubic root of 145053486 is about 525.4233754925.

The spelling of 145053486 in words is "one hundred forty-five million, fifty-three thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 61 102 114 122 153 171 183 306 323 342 366 409 549 646 818 969 1037 1098 1159 1227 1938 2074 2318 2454 2907 3111 3477 3681 5814 6222 6953 6954 7362 7771 9333 10431 13906 15542 18666 19703 20859 20862 23313 24949 39406 41718 46626 49898 59109 62577 69939 74847 118218 125154 132107 139878 149694 177327 224541 264214 354654 396321 424133 449082 474031 792642 848266 948062 1188963 1272399 1422093 2377926 2544798 2844186 3817197 4266279 7634394 8058527 8532558 16117054 24175581 48351162 72526743 145053486