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48532608 = 273431151
BaseRepresentation
bin1011100100100…
…0110010000000
310101022201020000
42321020302000
544411020413
64452120000
71126343325
oct271106200
9111281200
1048532608
11254392a3
1214306000
13a093527
146634b4c
1543da073
hex2e48c80

48532608 has 160 divisors (see below), whose sum is σ = 150078720. Its totient is φ = 15552000.

The previous prime is 48532597. The next prime is 48532609. The reversal of 48532608 is 80623584.

48532608 is a `hidden beast` number, since 48 + 5 + 3 + 2 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48532609) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321333 + ... + 321483.

It is an arithmetic number, because the mean of its divisors is an integer number (937992).

Almost surely, 248532608 is an apocalyptic number.

48532608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48532608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75039360).

48532608 is an abundant number, since it is smaller than the sum of its proper divisors (101546112).

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

48532608 is a wasteful number, since it uses less digits than its factorization.

48532608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48532608 is about 6966.5348631870. The cubic root of 48532608 is about 364.7633619714.

The spelling of 48532608 in words is "forty-eight million, five hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 151 162 186 192 216 248 279 288 302 324 372 384 432 453 496 558 576 604 648 744 837 864 906 992 1116 1152 1208 1296 1359 1488 1674 1728 1812 1984 2232 2416 2511 2592 2718 2976 3348 3456 3624 3968 4077 4464 4681 4832 5022 5184 5436 5952 6696 7248 8154 8928 9362 9664 10044 10368 10872 11904 12231 13392 14043 14496 16308 17856 18724 19328 20088 21744 24462 26784 28086 28992 32616 35712 37448 40176 42129 43488 48924 53568 56172 57984 65232 74896 80352 84258 86976 97848 107136 112344 126387 130464 149792 160704 168516 173952 195696 224688 252774 260928 299584 321408 337032 379161 391392 449376 505548 521856 599168 674064 758322 782784 898752 1011096 1348128 1516644 1565568 1797504 2022192 2696256 3033288 4044384 5392512 6066576 8088768 12133152 16177536 24266304 48532608