Search a number
-
+
38885000388 = 223131719973681
BaseRepresentation
bin100100001101101110…
…100000010011000100
310201100221222200120120
4210031232200103010
51114114030003023
625510304301540
72544415023033
oct441556402304
9121327880516
1038885000388
1115544629363
1276526118b0
13388907c490
141c4c48671a
151028b8b8e3
hex90dba04c4

38885000388 has 96 divisors (see below), whose sum is σ = 103980038400. Its totient is φ = 11204075520.

The previous prime is 38885000387. The next prime is 38885000417. The reversal of 38885000388 is 88300058883.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 38885000388.

It is not an unprimeable number, because it can be changed into a prime (38885000383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490908 + ... + 564588.

It is an arithmetic number, because the mean of its divisors is an integer number (1083125400).

Almost surely, 238885000388 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 38885000388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51990019200).

38885000388 is an abundant number, since it is smaller than the sum of its proper divisors (65095038012).

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

38885000388 is a wasteful number, since it uses less digits than its factorization.

38885000388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73917 (or 73915 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 38885000388 in words is "thirty-eight billion, eight hundred eighty-five million, three hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 199 204 221 398 442 597 663 796 884 1194 1326 2388 2587 2652 3383 5174 6766 7761 10149 10348 13532 15522 20298 31044 40596 43979 73681 87958 131937 147362 175916 221043 263874 294724 442086 527748 884172 957853 1252577 1915706 2505154 2873559 3757731 3831412 5010308 5747118 7515462 11494236 14662519 15030924 16283501 29325038 32567002 43987557 48850503 58650076 65134004 87975114 97701006 175950228 190612747 195402012 249262823 381225494 498525646 571838241 747788469 762450988 997051292 1143676482 1495576938 2287352964 2991153876 3240416699 6480833398 9721250097 12961666796 19442500194 38885000388