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148072092 = 2237193257
BaseRepresentation
bin10001101001101…
…10011010011100
3101022121211201120
420310312122130
5300401301332
622405410540
73445410030
oct1064663234
9338554646
10148072092
1176645833
1241709a50
13248a552c
14159461c0
15ceed32c
hex8d3669c

148072092 has 96 divisors (see below), whose sum is σ = 418414080. Its totient is φ = 39923712.

The previous prime is 148072081. The next prime is 148072097. The reversal of 148072092 is 290270841.

It is a happy number.

148072092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148072097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576028 + ... + 576284.

It is an arithmetic number, because the mean of its divisors is an integer number (4358480).

Almost surely, 2148072092 is an apocalyptic number.

148072092 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 148072092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209207040).

148072092 is an abundant number, since it is smaller than the sum of its proper divisors (270341988).

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

148072092 is a wasteful number, since it uses less digits than its factorization.

148072092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 148072092 is about 12168.4876628117. The cubic root of 148072092 is about 529.0431197825.

The spelling of 148072092 in words is "one hundred forty-eight million, seventy-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 257 266 361 399 514 532 722 771 798 1028 1083 1444 1542 1596 1799 2166 2527 3084 3598 4332 4883 5054 5397 6859 7196 7581 9766 10108 10794 13718 14649 15162 19532 20577 21588 27436 29298 30324 34181 41154 48013 58596 68362 82308 92777 96026 102543 136724 144039 185554 192052 205086 278331 288078 371108 410172 556662 576156 649439 1113324 1298878 1762763 1948317 2597756 3525526 3896634 5288289 7051052 7793268 10576578 12339341 21153156 24678682 37018023 49357364 74036046 148072092