Search a number
-
+
48118840 = 23571117919
BaseRepresentation
bin1011011110001…
…1110000111000
310100112200122021
42313203300320
544304300330
64435204224
71123001110
oct267436070
9110480567
1048118840
1125186440
1214146674
139c7a0b3
146568040
15435767a
hex2de3c38

48118840 has 128 divisors (see below), whose sum is σ = 143078400. Its totient is φ = 14100480.

The previous prime is 48118831. The next prime is 48118841. The reversal of 48118840 is 4881184.

48118840 = T45 + T46 + ... + T660.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 48118796 and 48118805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48118841) 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, 51901 + ... + 52819.

It is an arithmetic number, because the mean of its divisors is an integer number (1117800).

Almost surely, 248118840 is an apocalyptic number.

48118840 is a gapful number since it is divisible by the number (40) 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 48118840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71539200).

48118840 is an abundant number, since it is smaller than the sum of its proper divisors (94959560).

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

48118840 is a wasteful number, since it uses less digits than its factorization.

48118840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 48118840 is about 6936.7744665659. The cubic root of 48118840 is about 363.7237972331.

It can be divided in two parts, 481 and 18840, that added together give a square (19321 = 1392).

The spelling of 48118840 in words is "forty-eight million, one hundred eighteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 919 935 952 1190 1309 1496 1540 1838 1870 2380 2618 3080 3676 3740 4595 4760 5236 6433 6545 7352 7480 9190 10109 10472 12866 13090 15623 18380 20218 25732 26180 31246 32165 36760 40436 50545 51464 52360 62492 64330 70763 78115 80872 101090 109361 124984 128660 141526 156230 171853 202180 218722 257320 283052 312460 343706 353815 404360 437444 546805 566104 624920 687412 707630 859265 874888 1093610 1202971 1374824 1415260 1718530 2187220 2405942 2830520 3437060 4374440 4811884 6014855 6874120 9623768 12029710 24059420 48118840