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145028988 = 223313531949
BaseRepresentation
bin10001010010011…
…11011101111100
3101002220020101000
420221033131330
5244111411423
622220250300
73410504016
oct1051173574
9332806330
10145028988
1174957475
12406a0990
132407b390
14153931b6
15caeb843
hex8a4f77c

145028988 has 96 divisors (see below), whose sum is σ = 412776000. Its totient is φ = 43759872.

The previous prime is 145028987. The next prime is 145028999. The reversal of 145028988 is 889820541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145028987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73438 + ... + 75386.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2145028988 is an apocalyptic number.

145028988 is a gapful number since it is divisible by the number (18) 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 145028988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

145028988 is an abundant number, since it is smaller than the sum of its proper divisors (267747012).

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

145028988 is a wasteful number, since it uses less digits than its factorization.

145028988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 145028988 is about 12042.7981798252. The cubic root of 145028988 is about 525.3937943430.

The spelling of 145028988 in words is "one hundred forty-five million, twenty-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 106 108 117 156 159 212 234 318 351 468 477 636 689 702 954 1378 1404 1431 1908 1949 2067 2756 2862 3898 4134 5724 5847 6201 7796 8268 11694 12402 17541 18603 23388 24804 25337 35082 37206 50674 52623 70164 74412 76011 101348 103297 105246 152022 206594 210492 228033 304044 309891 413188 456066 619782 684099 912132 929673 1239564 1342861 1368198 1859346 2685722 2736396 2789019 3718692 4028583 5371444 5578038 8057166 11156076 12085749 16114332 24171498 36257247 48342996 72514494 145028988