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145726592 = 27112972
BaseRepresentation
bin10001010111110…
…01110010000000
3101011012200022012
420223321302000
5244301222332
622243232052
73416440604
oct1053716200
9334180265
10145726592
1175293600
1240978628
1324263a6b
14154d5504
15cbd83b2
hex8af9c80

145726592 has 72 divisors (see below), whose sum is σ = 322429905. Its totient is φ = 65556480.

The previous prime is 145726571. The next prime is 145726631. The reversal of 145726592 is 295627541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 145347136 + 379456 = 12056^2 + 616^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8536.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1502288 + ... + 1502384.

Almost surely, 2145726592 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 145726592

145726592 is an abundant number, since it is smaller than the sum of its proper divisors (176703313).

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

145726592 is an frugal number, since it uses more digits than its factorization.

145726592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 110 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The square root of 145726592 is about 12071.7269684167. The cubic root of 145726592 is about 526.2348462413.

The spelling of 145726592 in words is "one hundred forty-five million, seven hundred twenty-six thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 121 128 176 194 242 352 388 484 704 776 968 1067 1408 1552 1936 2134 3104 3872 4268 6208 7744 8536 9409 11737 12416 15488 17072 18818 23474 34144 37636 46948 68288 75272 93896 103499 136576 150544 187792 206998 301088 375584 413996 602176 751168 827992 1138489 1204352 1502336 1655984 2276978 3311968 4553956 6623936 9107912 13247872 18215824 36431648 72863296 145726592