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48500064 = 2532295807
BaseRepresentation
bin1011100100000…
…0110101100000
310101021001120200
42321000311200
544404000224
64451305200
71126146414
oct271006540
9111231520
1048500064
11254168a8
12142ab200
13a081782
146626d44
1543d05c9
hex2e40d60

48500064 has 72 divisors (see below), whose sum is σ = 142702560. Its totient is φ = 15606528.

The previous prime is 48500059. The next prime is 48500069. The reversal of 48500064 is 46000584.

It is an interprime number because it is at equal distance from previous prime (48500059) and next prime (48500069).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48500069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5449 + ... + 11255.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 248500064 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 48500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71351280).

48500064 is an abundant number, since it is smaller than the sum of its proper divisors (94202496).

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

48500064 is a wasteful number, since it uses less digits than its factorization.

48500064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48500064 is about 6964.1987335228. The cubic root of 48500064 is about 364.6818118982.

The spelling of 48500064 in words is "forty-eight million, five hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 5807 8352 11614 17421 23228 34842 46456 52263 69684 92912 104526 139368 168403 185824 209052 278736 336806 418104 505209 557472 673612 836208 1010418 1347224 1515627 1672416 2020836 2694448 3031254 4041672 5388896 6062508 8083344 12125016 16166688 24250032 48500064