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48703032 = 233671193
BaseRepresentation
bin1011100111001…
…0011000111000
310101122101000000
42321302120320
544431444112
64455513000
71130653230
oct271623070
9111571000
1048703032
1125545344
1214388760
13a122c81
14667acc0
1544207dc
hex2e72638

48703032 has 112 divisors (see below), whose sum is σ = 156605040. Its totient is φ = 13903488.

The previous prime is 48703003. The next prime is 48703043. The reversal of 48703032 is 23030784.

48703032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48702987 and 48703005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40228 + ... + 41420.

Almost surely, 248703032 is an apocalyptic number.

48703032 is a gapful number since it is divisible by the number (42) 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 48703032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78302520).

48703032 is an abundant number, since it is smaller than the sum of its proper divisors (107902008).

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

48703032 is a wasteful number, since it uses less digits than its factorization.

48703032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 48703032 is about 6978.7557630282. The cubic root of 48703032 is about 365.1898230744.

The spelling of 48703032 in words is "forty-eight million, seven hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1193 1458 1512 1701 1944 2268 2386 2916 3402 3579 4536 4772 5103 5832 6804 7158 8351 9544 10206 10737 13608 14316 16702 20412 21474 25053 28632 32211 33404 40824 42948 50106 64422 66808 75159 85896 96633 100212 128844 150318 193266 200424 225477 257688 289899 300636 386532 450954 579798 601272 676431 773064 869697 901908 1159596 1352862 1739394 1803816 2029293 2319192 2705724 3478788 4058586 5411448 6087879 6957576 8117172 12175758 16234344 24351516 48703032