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146965248 = 2832227281
BaseRepresentation
bin10001100001010…
…00001100000000
3101020112121102100
420300220030000
5300110341443
622325550400
73433120053
oct1060501400
9336477370
10146965248
1175a5a191
1241275400
13245a87b1
1415738a9a
15cd803d3
hex8c28300

146965248 has 108 divisors (see below), whose sum is σ = 427118328. Its totient is φ = 48599040.

The previous prime is 146965223. The next prime is 146965261. The reversal of 146965248 is 842569641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522868 + ... + 523148.

Almost surely, 2146965248 is an apocalyptic number.

146965248 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 146965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213559164).

146965248 is an abundant number, since it is smaller than the sum of its proper divisors (280153080).

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

146965248 is a wasteful number, since it uses less digits than its factorization.

146965248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 146965248 is about 12122.9224199448. The cubic root of 146965248 is about 527.7216163357.

The spelling of 146965248 in words is "one hundred forty-six million, nine hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 256 281 288 384 454 562 576 681 768 843 908 1124 1152 1362 1686 1816 2043 2248 2304 2529 2724 3372 3632 4086 4496 5058 5448 6744 7264 8172 8992 10116 10896 13488 14528 16344 17984 20232 21792 26976 29056 32688 35968 40464 43584 53952 58112 63787 65376 71936 80928 87168 107904 127574 130752 161856 174336 191361 215808 255148 261504 323712 382722 510296 523008 574083 647424 765444 1020592 1148166 1530888 2041184 2296332 3061776 4082368 4592664 6123552 8164736 9185328 12247104 16329472 18370656 24494208 36741312 48988416 73482624 146965248