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48001932 = 223211432819
BaseRepresentation
bin1011011100011…
…1001110001100
310100022202021100
42313013032030
544242030212
64432503100
71122003216
oct267071614
9110282240
1048001932
1125106620
12140aaa90
139c38b14
1465375b6
154332bdc
hex2dc738c

48001932 has 72 divisors (see below), whose sum is σ = 135495360. Its totient is φ = 14202720.

The previous prime is 48001907. The next prime is 48001957. The reversal of 48001932 is 23910084.

It is an interprime number because it is at equal distance from previous prime (48001907) and next prime (48001957).

It is a junction number, because it is equal to n+sod(n) for n = 48001896 and 48001905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15619 + ... + 18437.

It is an arithmetic number, because the mean of its divisors is an integer number (1881880).

Almost surely, 248001932 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 48001932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67747680).

48001932 is an abundant number, since it is smaller than the sum of its proper divisors (87493428).

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

48001932 is a wasteful number, since it uses less digits than its factorization.

48001932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48001932 is about 6928.3426589625. The cubic root of 48001932 is about 363.4289944413.

The spelling of 48001932 in words is "forty-eight million, one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2819 2838 4257 5638 5676 8457 8514 11276 16914 17028 25371 31009 33828 50742 62018 93027 101484 121217 124036 186054 242434 279081 363651 372108 484868 558162 727302 1090953 1116324 1333387 1454604 2181906 2666774 4000161 4363812 5333548 8000322 12000483 16000644 24000966 48001932