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148034656 = 2571173823
BaseRepresentation
bin10001101001011…
…01010001100000
3101022112221101001
420310231101200
5300344102111
622404521344
73445162630
oct1064552140
9338487331
10148034656
117661a6a0
12416b0254
1324891493
14159366c0
15cee21c1
hex8d2d460

148034656 has 96 divisors (see below), whose sum is σ = 368782848. Its totient is φ = 56816640.

The previous prime is 148034603. The next prime is 148034659. The reversal of 148034656 is 656430841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148034659) 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 15 ways as a sum of consecutive naturals, for example, 179461 + ... + 180283.

It is an arithmetic number, because the mean of its divisors is an integer number (3841488).

Almost surely, 2148034656 is an apocalyptic number.

148034656 is a gapful number since it is divisible by the number (16) 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 148034656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184391424).

148034656 is an abundant number, since it is smaller than the sum of its proper divisors (220748192).

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

148034656 is a wasteful number, since it uses less digits than its factorization.

148034656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 148034656 is about 12166.9493300498. The cubic root of 148034656 is about 528.9985313048.

The spelling of 148034656 in words is "one hundred forty-eight million, thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 73 77 88 112 146 154 176 224 292 308 352 511 584 616 803 823 1022 1168 1232 1606 1646 2044 2336 2464 3212 3292 4088 5621 5761 6424 6584 8176 9053 11242 11522 12848 13168 16352 18106 22484 23044 25696 26336 36212 44968 46088 60079 63371 72424 89936 92176 120158 126742 144848 179872 184352 240316 253484 289696 420553 480632 506968 660869 841106 961264 1013936 1321738 1682212 1922528 2027872 2643476 3364424 4626083 5286952 6728848 9252166 10573904 13457696 18504332 21147808 37008664 74017328 148034656