Search a number
-
+
145366848 = 26321122943
BaseRepresentation
bin10001010101000…
…01111101000000
3101010112101211100
420222201331000
5244203214343
622231414400
73413412024
oct1052417500
9333471740
10145366848
11750682a0
1240824400
13241690b3
1415440384
15cb669d3
hex8aa1f40

145366848 has 84 divisors (see below), whose sum is σ = 454566528. Its totient is φ = 44048640.

The previous prime is 145366807. The next prime is 145366849. The reversal of 145366848 is 848663541.

145366848 is a `hidden beast` number, since 14 + 536 + 68 + 48 = 666.

It is a super-2 number, since 2×1453668482 = 42263040994910208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145366849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5136 + ... + 17807.

Almost surely, 2145366848 is an apocalyptic number.

145366848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145366848 is an abundant number, since it is smaller than the sum of its proper divisors (309199680).

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

145366848 is a wasteful number, since it uses less digits than its factorization.

145366848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22972 (or 22959 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 145366848 is about 12056.8174905321. The cubic root of 145366848 is about 525.8014642984.

The spelling of 145366848 in words is "one hundred forty-five million, three hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 22943 45886 68829 91772 137658 183544 206487 252373 275316 367088 412974 504746 550632 734176 757119 825948 1009492 1101264 1468352 1514238 1651896 2018984 2202528 2271357 3028476 3303792 4037968 4405056 4542714 6056952 6607584 8075936 9085428 12113904 13215168 16151872 18170856 24227808 36341712 48455616 72683424 145366848