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48500430 = 23511231431
BaseRepresentation
bin1011100100000…
…0111011001110
310101021002002020
42321000323032
544404003210
64451311010
71126150446
oct271007316
9111232066
1048500430
1125417100
12142ab466
13a0819a4
146627126
1543d0770
hex2e40ece

48500430 has 96 divisors (see below), whose sum is σ = 132378624. Its totient is φ = 11352000.

The previous prime is 48500401. The next prime is 48500453. The reversal of 48500430 is 3400584.

It is a happy number.

48500430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48500430.

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 47 ways as a sum of consecutive naturals, for example, 112315 + ... + 112745.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 248500430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48500430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189312).

48500430 is an abundant number, since it is smaller than the sum of its proper divisors (83878194).

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

48500430 is a wasteful number, since it uses less digits than its factorization.

48500430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 48500430 is about 6964.2250107245. The cubic root of 48500430 is about 364.6827292386.

The spelling of 48500430 in words is "forty-eight million, five hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 431 465 605 682 726 862 930 1023 1210 1293 1705 1815 2046 2155 2586 3410 3630 3751 4310 4741 5115 6465 7502 9482 10230 11253 12930 13361 14223 18755 22506 23705 26722 28446 37510 40083 47410 52151 56265 66805 71115 80166 104302 112530 133610 142230 146971 156453 200415 260755 293942 312906 400830 440913 521510 734855 782265 881826 1469710 1564530 1616681 2204565 3233362 4409130 4850043 8083405 9700086 16166810 24250215 48500430