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148812768 = 25331313249
BaseRepresentation
bin10001101111010…
…11001111100000
3101101000110202000
420313223033200
5301044002033
622433324000
73454613316
oct1067531740
9341013660
10148812768
1177001265
1241a06600
1324aa46c0
1415a9a0b6
15d0e7a13
hex8deb3e0

148812768 has 96 divisors (see below), whose sum is σ = 467460000. Its totient is φ = 45785088.

The previous prime is 148812749. The next prime is 148812773. The reversal of 148812768 is 867218841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4608 + ... + 17856.

It is an arithmetic number, because the mean of its divisors is an integer number (4869375).

Almost surely, 2148812768 is an apocalyptic number.

148812768 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 148812768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233730000).

148812768 is an abundant number, since it is smaller than the sum of its proper divisors (318647232).

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

148812768 is a wasteful number, since it uses less digits than its factorization.

148812768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13281 (or 13267 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 148812768 is about 12198.8838833723. The cubic root of 148812768 is about 529.9237673671.

The spelling of 148812768 in words is "one hundred forty-eight million, eight hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 13249 26498 39747 52996 79494 105992 119241 158988 172237 211984 238482 317976 344474 357723 423968 476964 516711 635952 688948 715446 953928 1033422 1271904 1377896 1430892 1550133 1907856 2066844 2755792 2861784 3100266 3815712 4133688 4650399 5511584 5723568 6200532 8267376 9300798 11447136 12401064 16534752 18601596 24802128 37203192 49604256 74406384 148812768