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148383312 = 243711192113
BaseRepresentation
bin10001101100000…
…10011001010000
3101100012122122020
420312002121100
5300441231222
622420211440
73451144260
oct1066023120
9340178566
10148383312
1176838640
1241839b80
132498409c
14159c77a0
15d06065c
hex8d82650

148383312 has 160 divisors (see below), whose sum is σ = 503301120. Its totient is φ = 36495360.

The previous prime is 148383271. The next prime is 148383337. The reversal of 148383312 is 213383841.

148383312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69168 + ... + 71280.

It is an arithmetic number, because the mean of its divisors is an integer number (3145632).

Almost surely, 2148383312 is an apocalyptic number.

148383312 is a gapful number since it is divisible by the number (12) 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 148383312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251650560).

148383312 is an abundant number, since it is smaller than the sum of its proper divisors (354917808).

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

148383312 is a wasteful number, since it uses less digits than its factorization.

148383312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2155 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 148383312 is about 12181.2688994209. The cubic root of 148383312 is about 529.4135104895.

The spelling of 148383312 in words is "one hundred forty-eight million, three hundred eighty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2113 2128 2508 2926 3192 3344 3696 4226 4389 5016 5852 6339 6384 8452 8778 10032 11704 12678 14791 16904 17556 23243 23408 25356 29582 33808 35112 40147 44373 46486 50712 59164 69729 70224 80294 88746 92972 101424 118328 120441 139458 160588 162701 177492 185944 236656 240882 278916 281029 321176 325402 354984 371888 441617 481764 488103 557832 562058 642352 650804 709968 843087 883234 963528 976206 1115664 1124116 1301608 1324851 1686174 1766468 1927056 1952412 2248232 2603216 2649702 3091319 3372348 3532936 3904824 4496464 5299404 6182638 6744696 7065872 7809648 9273957 10598808 12365276 13489392 18547914 21197616 24730552 37095828 49461104 74191656 148383312