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148368192 = 26371011093
BaseRepresentation
bin10001101011111…
…10101101000000
3101100011212220020
420311332231000
5300440240232
622420013440
73451052220
oct1065765500
9340155806
10148368192
1176828245
1241831280
132497a23b
14159c2080
15d05ae2c
hex8d7eb40

148368192 has 112 divisors (see below), whose sum is σ = 453493632. Its totient is φ = 41932800.

The previous prime is 148368179. The next prime is 148368211. The reversal of 148368192 is 291863841.

148368192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 135198 + ... + 136290.

Almost surely, 2148368192 is an apocalyptic number.

148368192 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 148368192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226746816).

148368192 is an abundant number, since it is smaller than the sum of its proper divisors (305125440).

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

148368192 is a wasteful number, since it uses less digits than its factorization.

148368192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1206 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 148368192 is about 12180.6482586109. The cubic root of 148368192 is about 529.3955277751.

The spelling of 148368192 in words is "one hundred forty-eight million, three hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 168 192 202 224 303 336 404 448 606 672 707 808 1093 1212 1344 1414 1616 2121 2186 2424 2828 3232 3279 4242 4372 4848 5656 6464 6558 7651 8484 8744 9696 11312 13116 15302 16968 17488 19392 22624 22953 26232 30604 33936 34976 45248 45906 52464 61208 67872 69952 91812 104928 110393 122416 135744 183624 209856 220786 244832 331179 367248 441572 489664 662358 734496 772751 883144 1324716 1468992 1545502 1766288 2318253 2649432 3091004 3532576 4636506 5298864 6182008 7065152 9273012 10597728 12364016 18546024 21195456 24728032 37092048 49456064 74184096 148368192