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48071140 = 225131937263
BaseRepresentation
bin1011011101100…
…0000111100100
310100110021012121
42313120013210
544301234030
64434155324
71122412045
oct267300744
9110407177
1048071140
1125153617
1214122b44
139c61480
1465548cc
15434847a
hex2dd81e4

48071140 has 96 divisors (see below), whose sum is σ = 117976320. Its totient is φ = 16298496.

The previous prime is 48071137. The next prime is 48071143. The reversal of 48071140 is 4117084.

48071140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48071137) and next prime (48071143).

It is a super-3 number, since 3×480711403 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48071143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182649 + ... + 182911.

It is an arithmetic number, because the mean of its divisors is an integer number (1228920).

Almost surely, 248071140 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 48071140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58988160).

48071140 is an abundant number, since it is smaller than the sum of its proper divisors (69905180).

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

48071140 is a wasteful number, since it uses less digits than its factorization.

48071140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 48071140 is about 6933.3354166664. The cubic root of 48071140 is about 363.6035715505.

The spelling of 48071140 in words is "forty-eight million, seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 37 38 52 65 74 76 95 130 148 185 190 247 260 263 370 380 481 494 526 703 740 962 988 1052 1235 1315 1406 1924 2405 2470 2630 2812 3419 3515 4810 4940 4997 5260 6838 7030 9139 9620 9731 9994 13676 14060 17095 18278 19462 19988 24985 34190 36556 38924 45695 48655 49970 64961 68380 91390 97310 99940 126503 129922 182780 184889 194620 253006 259844 324805 369778 506012 632515 649610 739556 924445 1265030 1299220 1848890 2403557 2530060 3697780 4807114 9614228 12017785 24035570 48071140