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148543956 = 2236112421
BaseRepresentation
bin10001101101010…
…01100111010100
3101100111211000000
420312221213110
5301011401311
622423451300
73452413521
oct1066514724
9340454000
10148543956
1176938300
12418b6b30
1324a0c242
1415a2a148
15d093056
hex8da99d4

148543956 has 126 divisors (see below), whose sum is σ = 429420026. Its totient is φ = 44906400.

The previous prime is 148543921. The next prime is 148543987. The reversal of 148543956 is 659345841.

148543956 is a `hidden beast` number, since 14 + 8 + 543 + 95 + 6 = 666.

148543956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 79388100 + 69155856 = 8910^2 + 8316^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 352626 + ... + 353046.

Almost surely, 2148543956 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 148543956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214710013).

148543956 is an abundant number, since it is smaller than the sum of its proper divisors (280876070).

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

148543956 is a wasteful number, since it uses less digits than its factorization.

148543956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 437 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 148543956 is about 12187.8610100378. The cubic root of 148543956 is about 529.6044942999.

The spelling of 148543956 in words is "one hundred forty-eight million, five hundred forty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 243 297 324 363 396 421 484 486 594 726 729 842 891 972 1089 1188 1263 1452 1458 1684 1782 2178 2526 2673 2916 3267 3564 3789 4356 4631 5052 5346 6534 7578 8019 9262 9801 10692 11367 13068 13893 15156 16038 18524 19602 22734 27786 29403 32076 34101 39204 41679 45468 50941 55572 58806 68202 83358 88209 101882 102303 117612 125037 136404 152823 166716 176418 203764 204606 250074 305646 306909 352836 375111 409212 458469 500148 611292 613818 750222 916938 1125333 1227636 1375407 1500444 1833876 2250666 2750814 3375999 4126221 4501332 5501628 6751998 8252442 12378663 13503996 16504884 24757326 37135989 49514652 74271978 148543956