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148272912 = 243217371637
BaseRepresentation
bin10001101011001…
…11011100010000
3101100000001012100
420311213130100
5300424213122
622414000400
73450204354
oct1065473420
9340001170
10148272912
11767726a7
12417a6100
1324945a68
1415999464
15d03caac
hex8d67710

148272912 has 120 divisors (see below), whose sum is σ = 451517976. Its totient is φ = 45232128.

The previous prime is 148272871. The next prime is 148272913. The reversal of 148272912 is 219272841.

It can be written as a sum of positive squares in 4 ways, for example, as 29550096 + 118722816 = 5436^2 + 10896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (148272913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89758 + ... + 91394.

Almost surely, 2148272912 is an apocalyptic number.

148272912 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 148272912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225758988).

148272912 is an abundant number, since it is smaller than the sum of its proper divisors (303245064).

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

148272912 is a wasteful number, since it uses less digits than its factorization.

148272912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1696 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 148272912 is about 12176.7365086053. The cubic root of 148272912 is about 529.2821800138.

The spelling of 148272912 in words is "one hundred forty-eight million, two hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 592 612 629 666 816 888 1224 1258 1332 1637 1776 1887 2448 2516 2664 3274 3774 4911 5032 5328 5661 6548 7548 9822 10064 11322 13096 14733 15096 19644 22644 26192 27829 29466 30192 39288 45288 55658 58932 60569 78576 83487 90576 111316 117864 121138 166974 181707 222632 235728 242276 250461 333948 363414 445264 484552 500922 545121 667896 726828 969104 1001844 1029673 1090242 1335792 1453656 2003688 2059346 2180484 2907312 3089019 4007376 4118692 4360968 6178038 8237384 8721936 9267057 12356076 16474768 18534114 24712152 37068228 49424304 74136456 148272912