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48755808 = 25323143127
BaseRepresentation
bin1011100111111…
…1010001100000
310101202001101200
42321333101200
544440141213
64501001200
71131263133
oct271772140
9111661350
1048755808
1125580a62
12143b3200
13a140cba
14669221a
154431273
hex2e7f460

48755808 has 144 divisors (see below), whose sum is σ = 147603456. Its totient is φ = 15240960.

The previous prime is 48755801. The next prime is 48755827. The reversal of 48755808 is 80855784.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48755801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383841 + ... + 383967.

It is an arithmetic number, because the mean of its divisors is an integer number (1025024).

Almost surely, 248755808 is an apocalyptic number.

48755808 is a gapful number since it is divisible by the number (48) 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 48755808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73801728).

48755808 is an abundant number, since it is smaller than the sum of its proper divisors (98847648).

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

48755808 is a wasteful number, since it uses less digits than its factorization.

48755808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 48755808 is about 6982.5359290160. The cubic root of 48755808 is about 365.3216855055.

The spelling of 48755808 in words is "forty-eight million, seven hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 43 48 62 72 86 93 96 124 127 129 144 172 186 248 254 258 279 288 344 372 381 387 496 508 516 558 688 744 762 774 992 1016 1032 1116 1143 1333 1376 1488 1524 1548 2032 2064 2232 2286 2666 2976 3048 3096 3937 3999 4064 4128 4464 4572 5332 5461 6096 6192 7874 7998 8928 9144 10664 10922 11811 11997 12192 12384 15748 15996 16383 18288 21328 21844 23622 23994 31496 31992 32766 35433 36576 42656 43688 47244 47988 49149 62992 63984 65532 70866 87376 94488 95976 98298 125984 127968 131064 141732 169291 174752 188976 191952 196596 262128 283464 338582 377952 383904 393192 507873 524256 566928 677164 786384 1015746 1133856 1354328 1523619 1572768 2031492 2708656 3047238 4062984 5417312 6094476 8125968 12188952 16251936 24377904 48755808