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48345150 = 23527411123
BaseRepresentation
bin1011100001101…
…1000000111110
310100222012002010
42320123000332
544334021100
64444112050
71124632650
oct270330076
9110865063
1048345150
1125320477
1214235626
13a0290c9
1465c66d0
15439e750
hex2e1b03e

48345150 has 96 divisors (see below), whose sum is σ = 140491008. Its totient is φ = 10771200.

The previous prime is 48345137. The next prime is 48345163. The reversal of 48345150 is 5154384.

48345150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48345137) and next prime (48345163).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 42489 + ... + 43611.

It is an arithmetic number, because the mean of its divisors is an integer number (1463448).

Almost surely, 248345150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48345150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70245504).

48345150 is an abundant number, since it is smaller than the sum of its proper divisors (92145858).

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

48345150 is a wasteful number, since it uses less digits than its factorization.

48345150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 48345150 is about 6953.0676683030. The cubic root of 48345150 is about 364.2931211764.

The spelling of 48345150 in words is "forty-eight million, three hundred forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 75 82 105 123 150 175 205 210 246 287 350 410 525 574 615 861 1025 1050 1123 1230 1435 1722 2050 2246 2870 3075 3369 4305 5615 6150 6738 7175 7861 8610 11230 14350 15722 16845 21525 23583 28075 33690 39305 43050 46043 47166 56150 78610 84225 92086 117915 138129 168450 196525 230215 235830 276258 322301 393050 460430 589575 644602 690645 966903 1151075 1179150 1381290 1611505 1933806 2302150 3223010 3453225 4834515 6906450 8057525 9669030 16115050 24172575 48345150