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48427392 = 2731389109
BaseRepresentation
bin1011100010111…
…1000110000000
310101010100220010
42320233012000
544344134032
64445544520
71125424506
oct270570600
9111110803
1048427392
1125377242
1214275140
13a057680
146608676
1543b8ccc
hex2e2f180

48427392 has 128 divisors (see below), whose sum is σ = 141372000. Its totient is φ = 14598144.

The previous prime is 48427391. The next prime is 48427403. The reversal of 48427392 is 29372484.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (96768) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 48427392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48427391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444234 + ... + 444342.

Almost surely, 248427392 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 48427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70686000).

48427392 is an abundant number, since it is smaller than the sum of its proper divisors (92944608).

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

48427392 is a wasteful number, since it uses less digits than its factorization.

48427392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 48427392 is about 6958.9792354914. The cubic root of 48427392 is about 364.4995756815.

The spelling of 48427392 in words is "forty-eight million, four hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 109 128 156 178 192 208 218 267 312 327 356 384 416 436 534 624 654 712 832 872 1068 1157 1248 1308 1417 1424 1664 1744 2136 2314 2496 2616 2834 2848 3471 3488 4251 4272 4628 4992 5232 5668 5696 6942 6976 8502 8544 9256 9701 10464 11336 11392 13884 13952 17004 17088 18512 19402 20928 22672 27768 29103 34008 34176 37024 38804 41856 45344 55536 58206 68016 74048 77608 90688 111072 116412 126113 136032 148096 155216 181376 222144 232824 252226 272064 310432 378339 444288 465648 504452 544128 620864 756678 931296 1008904 1241728 1513356 1862592 2017808 3026712 3725184 4035616 6053424 8071232 12106848 16142464 24213696 48427392