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148082064 = 24313307773
BaseRepresentation
bin10001101001110…
…00110110010000
3101022122100101220
420310320312100
5300402111224
622405525040
73445451064
oct1064706620
9338570356
10148082064
1176652279
1241713780
13248a9c30
1415949aa4
15d001279
hex8d38d90

148082064 has 80 divisors (see below), whose sum is σ = 413848512. Its totient is φ = 45356544.

The previous prime is 148082057. The next prime is 148082083. The reversal of 148082064 is 460280841.

148082064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 191182 + ... + 191954.

Almost surely, 2148082064 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 148082064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206924256).

148082064 is an abundant number, since it is smaller than the sum of its proper divisors (265766448).

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

148082064 is a wasteful number, since it uses less digits than its factorization.

148082064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 148082064 is about 12168.8974028052. The cubic root of 148082064 is about 529.0549957534.

The spelling of 148082064 in words is "one hundred forty-eight million, eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 307 312 614 624 773 921 1228 1546 1842 2319 2456 3092 3684 3991 4638 4912 6184 7368 7982 9276 10049 11973 12368 14736 15964 18552 20098 23946 30147 31928 37104 40196 47892 60294 63856 80392 95784 120588 160784 191568 237311 241176 474622 482352 711933 949244 1423866 1898488 2847732 3085043 3796976 5695464 6170086 9255129 11390928 12340172 18510258 24680344 37020516 49360688 74041032 148082064