Search a number
-
+
48117828 = 223112311069
BaseRepresentation
bin1011011110001…
…1100001000100
310100112122020210
42313203201010
544304232303
64435155420
71122665133
oct267434104
9110478223
1048117828
1125185700
1214145b70
139c797b5
14656791a
154357203
hex2de3844

48117828 has 72 divisors (see below), whose sum is σ = 127509760. Its totient is φ = 14097600.

The previous prime is 48117827. The next prime is 48117829. The reversal of 48117828 is 82871184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48117827) and next prime (48117829).

It is not an unprimeable number, because it can be changed into a prime (48117827) 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, 44478 + ... + 45546.

Almost surely, 248117828 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 48117828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63754880).

48117828 is an abundant number, since it is smaller than the sum of its proper divisors (79391932).

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

48117828 is a wasteful number, since it uses less digits than its factorization.

48117828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1116 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 48117828 is about 6936.7015216167. The cubic root of 48117828 is about 363.7212473583.

The spelling of 48117828 in words is "forty-eight million, one hundred seventeen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 1023 1069 1364 1452 2046 2138 3207 3751 4092 4276 6414 7502 11253 11759 12828 15004 22506 23518 33139 35277 45012 47036 66278 70554 99417 129349 132556 141108 198834 258698 364529 388047 397668 517396 729058 776094 1093587 1458116 1552188 2187174 4009819 4374348 8019638 12029457 16039276 24058914 48117828