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148427832 = 233723107359
BaseRepresentation
bin10001101100011…
…01010000111000
3101100021220201010
420312031100320
5300444142312
622421153520
73451421130
oct1066152070
9340256633
10148427832
1176869033
124185b8a0
132499b427
14159d9ac0
15d06d93c
hex8d8d438

148427832 has 128 divisors (see below), whose sum is σ = 447897600. Its totient is φ = 40073088.

The previous prime is 148427801. The next prime is 148427837. The reversal of 148427832 is 238724841.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148427837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413269 + ... + 413627.

It is an arithmetic number, because the mean of its divisors is an integer number (3499200).

Almost surely, 2148427832 is an apocalyptic number.

148427832 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 148427832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223948800).

148427832 is an abundant number, since it is smaller than the sum of its proper divisors (299469768).

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

148427832 is a wasteful number, since it uses less digits than its factorization.

148427832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 148427832 is about 12183.0961582022. The cubic root of 148427832 is about 529.4664525002.

The spelling of 148427832 in words is "one hundred forty-eight million, four hundred twenty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 107 138 161 168 184 214 276 321 322 359 428 483 552 642 644 718 749 856 966 1077 1284 1288 1436 1498 1932 2154 2247 2461 2513 2568 2872 2996 3864 4308 4494 4922 5026 5992 7383 7539 8257 8616 8988 9844 10052 14766 15078 16514 17227 17976 19688 20104 24771 29532 30156 33028 34454 38413 49542 51681 57799 59064 60312 66056 68908 76826 99084 103362 115239 115598 137816 153652 173397 198168 206724 230478 231196 268891 307304 346794 413448 460956 462392 537782 693588 806673 883499 921912 1075564 1387176 1613346 1766998 2151128 2650497 3226692 3533996 5300994 6184493 6453384 7067992 10601988 12368986 18553479 21203976 24737972 37106958 49475944 74213916 148427832