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148282704 = 24331761331
BaseRepresentation
bin10001101011010…
…01110101010000
3101100000112122000
420311221311100
5300430021304
622414114000
73450245043
oct1065516520
9340015560
10148282704
1176779a99
12417ab900
132494a35b
141599cc5a
15d040939
hex8d69d50

148282704 has 160 divisors (see below), whose sum is σ = 459434880. Its totient is φ = 45619200.

The previous prime is 148282649. The next prime is 148282723. The reversal of 148282704 is 407282841.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 447819 + ... + 448149.

It is an arithmetic number, because the mean of its divisors is an integer number (2871468).

Almost surely, 2148282704 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 148282704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229717440).

148282704 is an abundant number, since it is smaller than the sum of its proper divisors (311152176).

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

148282704 is a wasteful number, since it uses less digits than its factorization.

148282704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 148282704 is about 12177.1385801427. The cubic root of 148282704 is about 529.2938310901.

The spelling of 148282704 in words is "one hundred forty-eight million, two hundred eighty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 61 68 72 102 108 122 136 144 153 183 204 216 244 272 306 331 366 408 432 459 488 549 612 662 732 816 918 976 993 1037 1098 1224 1324 1464 1647 1836 1986 2074 2196 2448 2648 2928 2979 3111 3294 3672 3972 4148 4392 5296 5627 5958 6222 6588 7344 7944 8296 8784 8937 9333 11254 11916 12444 13176 15888 16592 16881 17874 18666 20191 22508 23832 24888 26352 27999 33762 35748 37332 40382 45016 47664 49776 50643 55998 60573 67524 71496 74664 80764 90032 101286 111996 121146 135048 142992 149328 151929 161528 181719 202572 223992 242292 270096 303858 323056 343247 363438 405144 447984 484584 545157 607716 686494 726876 810288 969168 1029741 1090314 1215432 1372988 1453752 2059482 2180628 2430864 2745976 2907504 3089223 4118964 4361256 5491952 6178446 8237928 8722512 9267669 12356892 16475856 18535338 24713784 37070676 49427568 74141352 148282704