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3816788948 = 2272291514447
BaseRepresentation
bin1110001101111111…
…1001001111010100
3100211222221222010122
43203133321033110
530304044221243
61430423011112
7163404112400
oct34337711724
910758858118
103816788948
111689529035
128a6299a98
1348a9950cb
14282ca2100
15175135668
hexe37f93d4

3816788948 has 72 divisors (see below), whose sum is σ = 8092869120. Its totient is φ = 1568548800.

The previous prime is 3816788939. The next prime is 3816788957. The reversal of 3816788948 is 8498876183.

It is an interprime number because it is at equal distance from previous prime (3816788939) and next prime (3816788957).

It is a congruent number.

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, 856061 + ... + 860507.

It is an arithmetic number, because the mean of its divisors is an integer number (112400960).

Almost surely, 23816788948 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 3816788948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046434560).

3816788948 is an abundant number, since it is smaller than the sum of its proper divisors (4276080172).

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

3816788948 is a wasteful number, since it uses less digits than its factorization.

3816788948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645 (or 4636 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 62.

The square root of 3816788948 is about 61780.1662995496. The cubic root of 3816788948 is about 1562.7855321854.

The spelling of 3816788948 in words is "three billion, eight hundred sixteen million, seven hundred eighty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 151 196 203 302 406 604 812 1057 1421 2114 2842 4228 4379 4447 5684 7399 8758 8894 14798 17516 17788 29596 30653 31129 61306 62258 122612 124516 128963 214571 217903 257926 429142 435806 515852 671497 858284 871612 902741 1342994 1805482 2685988 3610964 4700479 6319187 9400958 12638374 18801916 19473413 25276748 32903353 38946826 65806706 77893652 131613412 136313891 272627782 545255564 954197237 1908394474 3816788948