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48644316 = 223271371409
BaseRepresentation
bin1011100110010…
…0000011011100
310101112101110100
42321210003130
544423104231
64454341100
71130320110
oct271440334
9111471410
1048644316
1125505216
121435a790
13a102326
146663740
15440d1e6
hex2e640dc

48644316 has 72 divisors (see below), whose sum is σ = 141654240. Its totient is φ = 13787136.

The previous prime is 48644303. The next prime is 48644317. The reversal of 48644316 is 61344684.

48644316 is a `hidden beast` number, since 4 + 8 + 644 + 3 + 1 + 6 = 666.

48644316 is a nontrivial binomial coefficient, being equal to C(9864, 2).

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 (48644317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33820 + ... + 35228.

It is an arithmetic number, because the mean of its divisors is an integer number (1967420).

Almost surely, 248644316 is an apocalyptic number.

48644316 is the 9863-rd triangular number and also the 4932-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48644316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70827120).

48644316 is an abundant number, since it is smaller than the sum of its proper divisors (93009924).

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

48644316 is a wasteful number, since it uses less digits than its factorization.

48644316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1558 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 48644316 is about 6974.5477272724. The cubic root of 48644316 is about 365.0430073799.

It can be divided in two parts, 4864 and 4316, that added together give a triangular number (9180 = T135).

The spelling of 48644316 in words is "forty-eight million, six hundred forty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1409 1644 1918 2466 2818 2877 3836 4227 4932 5636 5754 8454 8631 9863 11508 12681 16908 17262 19726 25362 29589 34524 39452 50724 59178 88767 118356 177534 193033 355068 386066 579099 772132 1158198 1351231 1737297 2316396 2702462 3474594 4053693 5404924 6949188 8107386 12161079 16214772 24322158 48644316