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145488816 = 243211531733
BaseRepresentation
bin10001010101111…
…11101110110000
3101010202121010200
420222333232300
5244221120231
622234155200
73414430434
oct1052775660
9333677120
10145488816
11751409a0
1240882b00
13241ac775
14154729c4
15cb8cbe6
hex8abfbb0

145488816 has 120 divisors (see below), whose sum is σ = 452823696. Its totient is φ = 43230720.

The previous prime is 145488809. The next prime is 145488817. The reversal of 145488816 is 618884541.

145488816 is a `hidden beast` number, since 14 + 548 + 88 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (145488817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83086 + ... + 84818.

Almost surely, 2145488816 is an apocalyptic number.

145488816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145488816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226411848).

145488816 is an abundant number, since it is smaller than the sum of its proper divisors (307334880).

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

145488816 is a wasteful number, since it uses less digits than its factorization.

145488816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 145488816 is about 12061.8744811907. The cubic root of 145488816 is about 525.9484786193.

The spelling of 145488816 in words is "one hundred forty-five million, four hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 176 198 212 264 318 396 424 477 528 583 636 792 848 954 1166 1272 1584 1733 1749 1908 2332 2544 3466 3498 3816 4664 5199 5247 6932 6996 7632 9328 10398 10494 13864 13992 15597 19063 20796 20988 27728 27984 31194 38126 41592 41976 57189 62388 76252 83184 83952 91849 114378 124776 152504 171567 183698 228756 249552 275547 305008 343134 367396 457512 551094 686268 734792 826641 915024 1010339 1102188 1372536 1469584 1653282 2020678 2204376 2745072 3031017 3306564 4041356 4408752 6062034 6613128 8082712 9093051 12124068 13226256 16165424 18186102 24248136 36372204 48496272 72744408 145488816