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48591264 = 253717129
BaseRepresentation
bin1011100101011…
…1000110100000
310101102200200110
42321113012200
544414410024
64453251320
71130006331
oct271270640
9111380613
1048591264
1125479377
1214333b40
13a0b4137
14664c288
1543ec629
hex2e571a0

48591264 has 48 divisors (see below), whose sum is σ = 129366720. Its totient is φ = 15966720.

The previous prime is 48591251. The next prime is 48591289. The reversal of 48591264 is 46219584.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×485912642 = 4722221874235392, which contains 22 as substring.

It is a congruent number.

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, 3252 + ... + 10380.

It is an arithmetic number, because the mean of its divisors is an integer number (2695140).

Almost surely, 248591264 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 48591264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683360).

48591264 is an abundant number, since it is smaller than the sum of its proper divisors (80775456).

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

48591264 is a wasteful number, since it uses less digits than its factorization.

48591264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7205 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 48591264 is about 6970.7434323751. The cubic root of 48591264 is about 364.9102525325.

The spelling of 48591264 in words is "forty-eight million, five hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 7129 14258 21387 28516 42774 57032 85548 114064 171096 228128 342192 506159 684384 1012318 1518477 2024636 3036954 4049272 6073908 8098544 12147816 16197088 24295632 48591264