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145147288 = 231113711787
BaseRepresentation
bin10001010011011…
…00010110011000
3101010010020122111
420221230112120
5244124203123
622223002104
73411505636
oct1051542630
9333106574
10145147288
1174a28340
1240739334
13240c0190
14153c4356
15cb2190d
hex8a6c598

145147288 has 64 divisors (see below), whose sum is σ = 324414720. Its totient is φ = 60009600.

The previous prime is 145147283. The next prime is 145147297. The reversal of 145147288 is 882741541.

It is a self number, because there is not a number n which added to its sum of digits gives 145147288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145147283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80331 + ... + 82117.

It is an arithmetic number, because the mean of its divisors is an integer number (5068980).

Almost surely, 2145147288 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 145147288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162207360).

145147288 is an abundant number, since it is smaller than the sum of its proper divisors (179267432).

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

145147288 is a wasteful number, since it uses less digits than its factorization.

145147288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1884 counting only the distinct ones).

The product of its digits is 71680, while the sum is 40.

The square root of 145147288 is about 12047.7088278228. The cubic root of 145147288 is about 525.5366099155.

The spelling of 145147288 in words is "one hundred forty-five million, one hundred forty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 71 88 104 142 143 284 286 568 572 781 923 1144 1562 1787 1846 3124 3574 3692 6248 7148 7384 10153 14296 19657 20306 23231 39314 40612 46462 78628 81224 92924 126877 157256 185848 253754 255541 507508 511082 1015016 1022164 1395647 1649401 2044328 2791294 3298802 5582588 6597604 11165176 13195208 18143411 36286822 72573644 145147288