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48623616 = 212321319
BaseRepresentation
bin1011100101111…
…1000000000000
310101111100001200
42321133000000
544421423431
64454101200
71130202546
oct271370000
9111440050
1048623616
11254a0708
121434a800
13a0c5a92
146659d96
154406ee6
hex2e5f000

48623616 has 78 divisors (see below), whose sum is σ = 140557560. Its totient is φ = 16195584.

The previous prime is 48623599. The next prime is 48623639. The reversal of 48623616 is 61632684.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36205 + ... + 37523.

It is an arithmetic number, because the mean of its divisors is an integer number (1802020).

Almost surely, 248623616 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 48623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70278780).

48623616 is an abundant number, since it is smaller than the sum of its proper divisors (91933944).

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

48623616 is a wasteful number, since it uses less digits than its factorization.

48623616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1324 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 48623616 is about 6973.0636021766. The cubic root of 48623616 is about 364.9912201554.

The spelling of 48623616 in words is "forty-eight million, six hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1319 1536 2048 2304 2638 3072 3957 4096 4608 5276 6144 7914 9216 10552 11871 12288 15828 18432 21104 23742 31656 36864 42208 47484 63312 84416 94968 126624 168832 189936 253248 337664 379872 506496 675328 759744 1012992 1350656 1519488 2025984 2701312 3038976 4051968 5402624 6077952 8103936 12155904 16207872 24311808 48623616