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145825792 = 21372543
BaseRepresentation
bin10001011000100…
…10000000000000
3101011101201101021
420230102000000
5244312411132
622245315224
73420333040
oct1054220000
9334351337
10145825792
1175351092
1240a05b14
1324299c68
141551d720
15cc07997
hex8b12000

145825792 has 56 divisors (see below), whose sum is σ = 333426816. Its totient is φ = 62472192.

The previous prime is 145825783. The next prime is 145825837. The reversal of 145825792 is 297528541.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1458257922 = 42530323224854528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56073 + ... + 58615.

Almost surely, 2145825792 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 145825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166713408).

145825792 is an abundant number, since it is smaller than the sum of its proper divisors (187601024).

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

145825792 is an frugal number, since it uses more digits than its factorization.

145825792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2552 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The square root of 145825792 is about 12075.8350435902. The cubic root of 145825792 is about 526.3542265486.

The spelling of 145825792 in words is "one hundred forty-five million, eight hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 2543 3584 4096 5086 7168 8192 10172 14336 17801 20344 28672 35602 40688 57344 71204 81376 142408 162752 284816 325504 569632 651008 1139264 1302016 2278528 2604032 4557056 5208064 9114112 10416128 18228224 20832256 36456448 72912896 145825792