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145556268 = 2231113271313
BaseRepresentation
bin10001010110100…
…00001100101100
3101010220000122220
420223100030230
5244230300033
622235435340
73415131204
oct1053201454
9333800586
10145556268
1175187640
12408b5b50
1324204390
141548d404
15cba2bb3
hex8ad032c

145556268 has 96 divisors (see below), whose sum is σ = 401759232. Its totient is φ = 40435200.

The previous prime is 145556221. The next prime is 145556287. The reversal of 145556268 is 862655541.

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 31 ways as a sum of consecutive naturals, for example, 464880 + ... + 465192.

It is an arithmetic number, because the mean of its divisors is an integer number (4184992).

Almost surely, 2145556268 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 145556268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200879616).

145556268 is an abundant number, since it is smaller than the sum of its proper divisors (256202964).

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

145556268 is a wasteful number, since it uses less digits than its factorization.

145556268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 613 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 145556268 is about 12064.6702400024. The cubic root of 145556268 is about 526.0297467117.

The spelling of 145556268 in words is "one hundred forty-five million, five hundred fifty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 271 286 313 429 542 572 626 813 858 939 1084 1252 1626 1716 1878 2981 3252 3443 3523 3756 4069 5962 6886 7046 8138 8943 10329 10569 11924 12207 13772 14092 16276 17886 20658 21138 24414 35772 38753 41316 42276 44759 48828 77506 84823 89518 116259 134277 155012 169646 179036 232518 254469 268554 339292 465036 508938 537108 933053 1017876 1102699 1866106 2205398 2799159 3308097 3732212 4410796 5598318 6616194 11196636 12129689 13232388 24259378 36389067 48518756 72778134 145556268