Search a number
-
+
48102336 = 26361031
BaseRepresentation
bin1011011101111…
…1101111000000
310100111212000000
42313133233000
544303233321
64435000000
71122602022
oct267375700
9110455000
1048102336
1125174aa7
1214139000
139c72729
146562012
154352826
hex2ddfbc0

48102336 has 98 divisors (see below), whose sum is σ = 143252952. Its totient is φ = 16018560.

The previous prime is 48102317. The next prime is 48102347. The reversal of 48102336 is 63320184.

It is a happy number.

It is a super-3 number, since 3×481023363 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46141 + ... + 47171.

Almost surely, 248102336 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 48102336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71626476).

48102336 is an abundant number, since it is smaller than the sum of its proper divisors (95150616).

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

48102336 is an equidigital number, since it uses as much as digits as its factorization.

48102336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 48102336 is about 6935.5847626570. The cubic root of 48102336 is about 363.6822086441.

The spelling of 48102336 in words is "forty-eight million, one hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1031 1296 1458 1728 1944 2062 2592 2916 3093 3888 4124 5184 5832 6186 7776 8248 9279 11664 12372 15552 16496 18558 23328 24744 27837 32992 37116 46656 49488 55674 65984 74232 83511 98976 111348 148464 167022 197952 222696 250533 296928 334044 445392 501066 593856 668088 751599 890784 1002132 1336176 1503198 1781568 2004264 2672352 3006396 4008528 5344704 6012792 8017056 12025584 16034112 24051168 48102336