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148025088 = 2832411567
BaseRepresentation
bin10001101001010…
…10111100000000
3101022112110020200
420310222330000
5300343300323
622404405200
73445123011
oct1064527400
9338473220
10148025088
1176613492
12416a6800
132488a013
1415933008
15cede443
hex8d2af00

148025088 has 108 divisors (see below), whose sum is σ = 437481408. Its totient is φ = 48107520.

The previous prime is 148025083. The next prime is 148025089. The reversal of 148025088 is 880520841.

148025088 is a `hidden beast` number, since 148 + 0 + 2 + 508 + 8 = 666.

It is a super-2 number, since 2×1480250882 = 43822853354815488, which contains 22 as substring.

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 (148025081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93681 + ... + 95247.

Almost surely, 2148025088 is an apocalyptic number.

148025088 is a gapful number since it is divisible by the number (18) 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 148025088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218740704).

148025088 is an abundant number, since it is smaller than the sum of its proper divisors (289456320).

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

148025088 is a wasteful number, since it uses less digits than its factorization.

148025088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 148025088 is about 12166.5561273517. The cubic root of 148025088 is about 528.9871340479.

The spelling of 148025088 in words is "one hundred forty-eight million, twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 576 656 738 768 984 1152 1312 1476 1567 1968 2304 2624 2952 3134 3936 4701 5248 5904 6268 7872 9402 10496 11808 12536 14103 15744 18804 23616 25072 28206 31488 37608 47232 50144 56412 64247 75216 94464 100288 112824 128494 150432 192741 200576 225648 256988 300864 385482 401152 451296 513976 578223 601728 770964 902592 1027952 1156446 1203456 1541928 1805184 2055904 2312892 3083856 3610368 4111808 4625784 6167712 8223616 9251568 12335424 16447232 18503136 24670848 37006272 49341696 74012544 148025088