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148727664 = 243641311
BaseRepresentation
bin10001101110101…
…10011101110000
3101100212011000000
420313112131300
5301033241124
622431430000
73454110231
oct1067263560
9340764000
10148727664
1176a53328
1241985300
1324a74a47
1415a77088
15d0cc6c9
hex8dd6770

148727664 has 140 divisors (see below), whose sum is σ = 444002832. Its totient is φ = 48211200.

The previous prime is 148727653. The next prime is 148727681. The reversal of 148727664 is 466727841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 478069 + ... + 478379.

Almost surely, 2148727664 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 148727664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222001416).

148727664 is an abundant number, since it is smaller than the sum of its proper divisors (295275168).

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

148727664 is an equidigital number, since it uses as much as digits as its factorization.

148727664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 357 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 148727664 is about 12195.3951965486. The cubic root of 148727664 is about 529.8227293699.

The spelling of 148727664 in words is "one hundred forty-eight million, seven hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 311 324 328 369 432 486 492 622 648 656 729 738 933 972 984 1107 1244 1296 1458 1476 1866 1944 1968 2214 2488 2799 2916 2952 3321 3732 3888 4428 4976 5598 5832 5904 6642 7464 8397 8856 9963 11196 11664 12751 13284 14928 16794 17712 19926 22392 25191 25502 26568 29889 33588 38253 39852 44784 50382 51004 53136 59778 67176 75573 76506 79704 100764 102008 114759 119556 134352 151146 153012 159408 201528 204016 226719 229518 239112 302292 306024 344277 403056 453438 459036 478224 604584 612048 688554 906876 918072 1032831 1209168 1377108 1813752 1836144 2065662 2754216 3098493 3627504 4131324 5508432 6196986 8262648 9295479 12393972 16525296 18590958 24787944 37181916 49575888 74363832 148727664