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145456398 = 235378089
BaseRepresentation
bin10001010101101…
…11110100001110
3101010200221200000
420222313310032
5244214101043
622233345130
73414234063
oct1052676416
9333627600
10145456398
11751195aa
12408681a6
132419aa99
1415464c6a
15cb832d3
hex8ab7d0e

145456398 has 48 divisors (see below), whose sum is σ = 335702640. Its totient is φ = 47169216.

The previous prime is 145456387. The next prime is 145456453. The reversal of 145456398 is 893654541.

145456398 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 5 + 639 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13938 + ... + 22026.

It is an arithmetic number, because the mean of its divisors is an integer number (6993805).

Almost surely, 2145456398 is an apocalyptic number.

145456398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145456398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167851320).

145456398 is an abundant number, since it is smaller than the sum of its proper divisors (190246242).

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

145456398 is an equidigital number, since it uses as much as digits as its factorization.

145456398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143 (or 8131 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 145456398 is about 12060.5305853433. The cubic root of 145456398 is about 525.9094115515.

The spelling of 145456398 in words is "one hundred forty-five million, four hundred fifty-six thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1998 2997 5994 8089 8991 16178 17982 24267 48534 72801 145602 218403 299293 436806 598586 655209 897879 1310418 1795758 1965627 2693637 3931254 5387274 8080911 16161822 24242733 48485466 72728199 145456398