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3838809216 = 27311282619
BaseRepresentation
bin1110010011001111…
…1001010010000000
3100220112101201021010
43210303321102000
530330213343331
61432531000520
7164062224414
oct34463712200
910815351233
103838809216
11169a9a9200
128b1739140
13492404c58
14285b94d44
15177034e46
hexe4cf9480

3838809216 has 96 divisors (see below), whose sum is σ = 11208229200. Its totient is φ = 1163261440.

The previous prime is 3838809173. The next prime is 3838809223. The reversal of 3838809216 is 6129088383.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5155 + ... + 87773.

Almost surely, 23838809216 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 3838809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604114600).

3838809216 is an abundant number, since it is smaller than the sum of its proper divisors (7369419984).

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

3838809216 is a wasteful number, since it uses less digits than its factorization.

3838809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82658 (or 82635 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 3838809216 is about 61958.1246972502. The cubic root of 3838809216 is about 1565.7851730056.

The spelling of 3838809216 in words is "three billion, eight hundred thirty-eight million, eight hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 82619 165238 247857 330476 495714 660952 908809 991428 1321904 1817618 1982856 2643808 2726427 3635236 3965712 5287616 5452854 7270472 7931424 9996899 10575232 10905708 14540944 15862848 19993798 21811416 29081888 29990697 31725696 39987596 43622832 58163776 59981394 79975192 87245664 116327552 119962788 159950384 174491328 239925576 319900768 348982656 479851152 639801536 959702304 1279603072 1919404608 3838809216