Search a number
-
+
48865920 = 273531821
BaseRepresentation
bin1011101001101…
…0001010000000
310101221122102220
42322122022000
5100002202140
64503211040
71132232145
oct272321200
9111848386
1048865920
1125646764
1214446a80
13a17c15c
1466c03cc
154453bd0
hex2e9a280

48865920 has 128 divisors (see below), whose sum is σ = 160980480. Its totient is φ = 12595200.

The previous prime is 48865919. The next prime is 48865979. The reversal of 48865920 is 2956884.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59110 + ... + 59930.

It is an arithmetic number, because the mean of its divisors is an integer number (1257660).

Almost surely, 248865920 is an apocalyptic number.

48865920 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 48865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80490240).

48865920 is an abundant number, since it is smaller than the sum of its proper divisors (112114560).

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

48865920 is a wasteful number, since it uses less digits than its factorization.

48865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 48865920 is about 6990.4162966164. The cubic root of 48865920 is about 365.5964975955.

The spelling of 48865920 in words is "forty-eight million, eight hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 821 930 960 992 1240 1488 1642 1860 1920 1984 2463 2480 2976 3284 3720 3968 4105 4926 4960 5952 6568 7440 8210 9852 9920 11904 12315 13136 14880 16420 19704 19840 24630 25451 26272 29760 32840 39408 49260 50902 52544 59520 65680 76353 78816 98520 101804 105088 127255 131360 152706 157632 197040 203608 254510 262720 305412 315264 381765 394080 407216 509020 525440 610824 763530 788160 814432 1018040 1221648 1527060 1576320 1628864 2036080 2443296 3054120 3257728 4072160 4886592 6108240 8144320 9773184 12216480 16288640 24432960 48865920