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145439424 = 26321319423
BaseRepresentation
bin10001010101100…
…11101011000000
3101010200002101100
420222303223000
5244213030144
622233134400
73414133434
oct1052635300
9333602340
10145439424
1175107879
124085a400
1324193140
141545c9c4
15cb7d269
hex8ab3ac0

145439424 has 84 divisors (see below), whose sum is σ = 448966336. Its totient is φ = 44748288.

The previous prime is 145439407. The next prime is 145439431. The reversal of 145439424 is 424934541.

145439424 is a `hidden beast` number, since 1 + 4 + 543 + 94 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2224 + ... + 17199.

Almost surely, 2145439424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224483168).

145439424 is an abundant number, since it is smaller than the sum of its proper divisors (303526912).

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

145439424 is a wasteful number, since it uses less digits than its factorization.

145439424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19454 (or 19441 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 145439424 is about 12059.8268644289. The cubic root of 145439424 is about 525.8889537975. Note that the first 3 decimals are identical.

It can be divided in two parts, 145 and 439424, that added together give a square (439569 = 6632).

The spelling of 145439424 in words is "one hundred forty-five million, four hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 19423 38846 58269 77692 116538 155384 174807 233076 252499 310768 349614 466152 504998 621536 699228 757497 932304 1009996 1243072 1398456 1514994 1864608 2019992 2272491 2796912 3029988 3729216 4039984 4544982 5593824 6059976 8079968 9089964 11187648 12119952 16159936 18179928 24239904 36359856 48479808 72719712 145439424