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148848128 = 29111319107
BaseRepresentation
bin10001101111100…
…11111000000000
3101101002021020122
420313303320000
5301101120003
622434155412
73455121362
oct1067637000
9341067218
10148848128
1177025890
1241a22b68
1324ab7820
1415aa8d32
15d103238
hex8df3e00

148848128 has 160 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 58613760.

The previous prime is 148848103. The next prime is 148848131. The reversal of 148848128 is 821848841.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1391051 + ... + 1391157.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2148848128 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 148848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

148848128 is an abundant number, since it is smaller than the sum of its proper divisors (222378112).

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

148848128 is a wasteful number, since it uses less digits than its factorization.

148848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its digits is 131072, while the sum is 44.

The square root of 148848128 is about 12200.3331102065. Note that the first 3 decimals coincide. The cubic root of 148848128 is about 529.9657364820.

The spelling of 148848128 in words is "one hundred forty-eight million, eight hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 76 88 104 107 128 143 152 176 208 209 214 247 256 286 304 352 416 418 428 494 512 572 608 704 832 836 856 988 1144 1177 1216 1391 1408 1664 1672 1712 1976 2033 2288 2354 2432 2717 2782 2816 3328 3344 3424 3952 4066 4576 4708 4864 5434 5564 5632 6656 6688 6848 7904 8132 9152 9416 9728 10868 11128 13376 13696 15301 15808 16264 18304 18832 21736 22256 22363 26429 26752 27392 30602 31616 32528 36608 37664 43472 44512 44726 52858 53504 54784 61204 63232 65056 73216 75328 86944 89024 89452 105716 107008 122408 126464 130112 150656 173888 178048 178904 211432 244816 260224 290719 301312 347776 356096 357808 422864 489632 520448 581438 602624 695552 712192 715616 845728 979264 1040896 1162876 1391104 1431232 1691456 1958528 2325752 2862464 3382912 3917056 4651504 5724928 6765824 7834112 9303008 11449856 13531648 18606016 37212032 74424064 148848128