Search a number
-
+
48098496 = 263673739
BaseRepresentation
bin1011011101111…
…0110011000000
310100111122201210
42313132303000
544303122441
64434530120
71122554565
oct267366300
9110448653
1048098496
1125172126
1214136940
139c70a64
14656086c
154351616
hex2ddecc0

48098496 has 56 divisors (see below), whose sum is σ = 129194560. Its totient is φ = 15789312.

The previous prime is 48098471. The next prime is 48098503. The reversal of 48098496 is 69489084.

It is a super-3 number, since 3×480984963 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10995 + ... + 14733.

Almost surely, 248098496 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 48098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64597280).

48098496 is an abundant number, since it is smaller than the sum of its proper divisors (81096064).

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

48098496 is a wasteful number, since it uses less digits than its factorization.

48098496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 48098496 is about 6935.3079239497. The cubic root of 48098496 is about 363.6725308269.

The spelling of 48098496 in words is "forty-eight million, ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 3739 4288 6432 7478 11217 12864 14956 22434 29912 44868 59824 89736 119648 179472 239296 250513 358944 501026 717888 751539 1002052 1503078 2004104 3006156 4008208 6012312 8016416 12024624 16032832 24049248 48098496