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145042688 = 287292791
BaseRepresentation
bin10001010010100…
…10110100000000
3101002220221011102
420221102310000
5244112331223
622220433532
73410561660
oct1051226400
9332827142
10145042688
117496679a
12406a88a8
132408469b
14153981a0
15cb00928
hex8a52d00

145042688 has 72 divisors (see below), whose sum is σ = 342410880. Its totient is φ = 59996160.

The previous prime is 145042687. The next prime is 145042693. The reversal of 145042688 is 886240541.

It is a happy number.

145042688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145042687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50573 + ... + 53363.

Almost surely, 2145042688 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 145042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171205440).

145042688 is an abundant number, since it is smaller than the sum of its proper divisors (197368192).

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

145042688 is an equidigital number, since it uses as much as digits as its factorization.

145042688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 145042688 is about 12043.3669710758. The cubic root of 145042688 is about 525.4103373998.

The spelling of 145042688 in words is "one hundred forty-five million, forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1624 1792 1856 2791 3248 3712 5582 6496 7424 11164 12992 19537 22328 25984 39074 44656 51968 78148 80939 89312 156296 161878 178624 312592 323756 357248 566573 625184 647512 714496 1133146 1250368 1295024 2266292 2500736 2590048 4532584 5001472 5180096 9065168 10360192 18130336 20720384 36260672 72521344 145042688