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48827232 = 2533311823
BaseRepresentation
bin1011101001000…
…0101101100000
310101212200101000
42322100231200
544444432412
64502312000
71132011306
oct272205540
9111780330
1048827232
112561a693
1214428600
13a16766c
1466b0276
1544474dc
hex2e90b60

48827232 has 96 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 15742080.

The previous prime is 48827227. The next prime is 48827239. The reversal of 48827232 is 23272884.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48827239) 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, 25873 + ... + 27695.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 248827232 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 48827232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

48827232 is an abundant number, since it is smaller than the sum of its proper divisors (98260128).

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

48827232 is a wasteful number, since it uses less digits than its factorization.

48827232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1859 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 48827232 is about 6987.6485315162. The cubic root of 48827232 is about 365.4999890835.

The spelling of 48827232 in words is "forty-eight million, eight hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 1823 2232 2976 3348 3646 4464 5469 6696 7292 8928 10938 13392 14584 16407 21876 26784 29168 32814 43752 49221 56513 58336 65628 87504 98442 113026 131256 169539 175008 196884 226052 262512 339078 393768 452104 508617 525024 678156 787536 904208 1017234 1356312 1525851 1575072 1808416 2034468 2712624 3051702 4068936 5425248 6103404 8137872 12206808 16275744 24413616 48827232