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48492408 = 23319229193
BaseRepresentation
bin1011100011111…
…0111101111000
310101020200002010
42320332331320
544403224113
64451205520
71126115166
oct270767570
9111220063
1048492408
1125411078
12142a68a0
13a07b143
146624236
1543cd1c3
hex2e3ef78

48492408 has 96 divisors (see below), whose sum is σ = 133045200. Its totient is φ = 14708736.

The previous prime is 48492407. The next prime is 48492413. The reversal of 48492408 is 80429484.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48492407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251160 + ... + 251352.

Almost surely, 248492408 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 48492408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66522600).

48492408 is an abundant number, since it is smaller than the sum of its proper divisors (84552792).

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

48492408 is a wasteful number, since it uses less digits than its factorization.

48492408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 48492408 is about 6963.6490434254. The cubic root of 48492408 is about 364.6626218831.

The spelling of 48492408 in words is "forty-eight million, four hundred ninety-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 193 228 232 348 361 386 456 551 579 696 722 772 1083 1102 1158 1444 1544 1653 2166 2204 2316 2888 3306 3667 4332 4408 4632 5597 6612 7334 8664 10469 11001 11194 13224 14668 16791 20938 22002 22388 29336 31407 33582 41876 44004 44776 62814 67164 69673 83752 88008 106343 125628 134328 139346 209019 212686 251256 278692 319029 418038 425372 557384 638058 836076 850744 1276116 1672152 2020517 2552232 4041034 6061551 8082068 12123102 16164136 24246204 48492408