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145563864 = 23319253317
BaseRepresentation
bin10001010110100…
…10000011011000
3101010220102002020
420223102003120
5244231020424
622235534440
73415162305
oct1053220330
9333812066
10145563864
1175192316
12408ba420
1324207984
14154920ac
15cba5079
hex8ad20d8

145563864 has 96 divisors (see below), whose sum is σ = 392551920. Its totient is φ = 44957952.

The previous prime is 145563857. The next prime is 145563889. The reversal of 145563864 is 468365541.

It is a super-2 number, since 2×1455638642 = 42377677005220992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 459034 + ... + 459350.

Almost surely, 2145563864 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 145563864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196275960).

145563864 is an abundant number, since it is smaller than the sum of its proper divisors (246988056).

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

145563864 is a wasteful number, since it uses less digits than its factorization.

145563864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 394 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 145563864 is about 12064.9850393608. The cubic root of 145563864 is about 526.0388970161.

The spelling of 145563864 in words is "one hundred forty-five million, five hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 152 159 212 228 317 318 361 424 456 634 636 722 951 1007 1083 1268 1272 1444 1902 2014 2166 2536 2888 3021 3804 4028 4332 6023 6042 7608 8056 8664 12046 12084 16801 18069 19133 24092 24168 33602 36138 38266 48184 50403 57399 67204 72276 76532 100806 114437 114798 134408 144552 153064 201612 228874 229596 319219 343311 403224 457748 459192 638438 686622 915496 957657 1276876 1373244 1915314 2553752 2746488 3830628 6065161 7661256 12130322 18195483 24260644 36390966 48521288 72781932 145563864