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148025664 = 2633175039
BaseRepresentation
bin10001101001010…
…11000101000000
3101022112111001000
420310223011000
5300343310124
622404412000
73445124463
oct1064530500
9338474030
10148025664
1176613966
12416a7000
132488a367
14159332da
15cede6c9
hex8d2b140

148025664 has 112 divisors (see below), whose sum is σ = 460857600. Its totient is φ = 46430208.

The previous prime is 148025663. The next prime is 148025693. The reversal of 148025664 is 466520841.

148025664 is a `hidden beast` number, since 14 + 80 + 2 + 566 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148025663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26857 + ... + 31895.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2148025664 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 148025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

148025664 is an abundant number, since it is smaller than the sum of its proper divisors (312831936).

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

148025664 is a wasteful number, since it uses less digits than its factorization.

148025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 148025664 is about 12166.5797987766. The cubic root of 148025664 is about 528.9878201843.

The spelling of 148025664 in words is "one hundred forty-eight million, twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 5039 7344 9792 10078 14688 15117 20156 29376 30234 40312 45351 60468 80624 85663 90702 120936 136053 161248 171326 181404 241872 256989 272106 322496 342652 362808 483744 513978 544212 685304 725616 770967 967488 1027956 1088424 1370608 1451232 1541934 2055912 2176848 2312901 2741216 2902464 3083868 4111824 4353696 4625802 5482432 6167736 8223648 8707392 9251604 12335472 16447296 18503208 24670944 37006416 49341888 74012832 148025664