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48134268 = 223272132099
BaseRepresentation
bin1011011110011…
…1100001111100
310100120110210200
42313213201330
544310244033
64435403500
71123064100
oct267474174
9110513720
1048134268
1125196a96
1214153590
139c84120
14656d900
15435c013
hex2de787c

48134268 has 108 divisors (see below), whose sum is σ = 152497800. Its totient is φ = 12688704.

The previous prime is 48134263. The next prime is 48134279. The reversal of 48134268 is 86243184.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (48134263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21883 + ... + 23981.

Almost surely, 248134268 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 48134268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76248900).

48134268 is an abundant number, since it is smaller than the sum of its proper divisors (104363532).

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

48134268 is a wasteful number, since it uses less digits than its factorization.

48134268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2124 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48134268 is about 6937.8864216705. The cubic root of 48134268 is about 363.7626658005.

The spelling of 48134268 in words is "forty-eight million, one hundred thirty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2099 2548 3276 3822 4198 5733 6297 7644 8396 11466 12594 14693 18891 22932 25188 27287 29386 37782 44079 54574 58772 75564 81861 88158 102851 109148 132237 163722 176316 191009 205702 245583 264474 308553 327444 382018 411404 491166 528948 573027 617106 764036 925659 982332 1146054 1234212 1337063 1719081 1851318 2292108 2674126 3438162 3702636 4011189 5348252 6876324 8022378 12033567 16044756 24067134 48134268