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48593664 = 2832723131
BaseRepresentation
bin1011100101011…
…1101100000000
310101102210222100
42321113230000
544414444124
64453310400
71130016330
oct271275400
9111383870
1048593664
1125480159
1214335400
13a0b5262
14664d0c0
1543ed1c9
hex2e57b00

48593664 has 216 divisors, whose sum is σ = 168360192. Its totient is φ = 13178880.

The previous prime is 48593603. The next prime is 48593669. The reversal of 48593664 is 46639584.

It is a super-2 number, since 2×485936642 = 4722688361889792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48593669) 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, 370879 + ... + 371009.

Almost surely, 248593664 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 48593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84180096).

48593664 is an abundant number, since it is smaller than the sum of its proper divisors (119766528).

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

48593664 is a wasteful number, since it uses less digits than its factorization.

48593664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 48593664 is about 6970.9155783154. The cubic root of 48593664 is about 364.9162602666.

It can be divided in two parts, 485 and 93664, that added together give a palindrome (94149).

The spelling of 48593664 in words is "forty-eight million, five hundred ninety-three thousand, six hundred sixty-four".