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1938082848 = 253131977883
BaseRepresentation
bin111001110000100…
…1100110000100000
312000001211210212020
41303201030300200
512432122122343
6520151501440
766012301212
oct16341146040
95001753766
101938082848
11904aa7369
12461087880
1324b6a88b0
1414557c5b2
15b5231b83
hex7384cc20

1938082848 has 96 divisors (see below), whose sum is σ = 5507320896. Its totient is φ = 593230848.

The previous prime is 1938082823. The next prime is 1938082873. The reversal of 1938082848 is 8482808391.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1938082823) and next prime (1938082873).

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

It is a super-2 number, since 2×19380828482 = 7512330251423582208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1938082848.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241915 + ... + 249797.

It is an arithmetic number, because the mean of its divisors is an integer number (57367926).

Almost surely, 21938082848 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 1938082848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753660448).

1938082848 is an abundant number, since it is smaller than the sum of its proper divisors (3569238048).

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

1938082848 is a wasteful number, since it uses less digits than its factorization.

1938082848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8106 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 1938082848 is about 44023.6623646875. The cubic root of 1938082848 is about 1246.7827340374.

The spelling of 1938082848 in words is "one billion, nine hundred thirty-eight million, eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 197 208 312 394 416 591 624 788 1182 1248 1576 2364 2561 3152 4728 5122 6304 7683 7883 9456 10244 15366 15766 18912 20488 23649 30732 31532 40976 47298 61464 63064 81952 94596 102479 122928 126128 189192 204958 245856 252256 307437 378384 409916 614874 756768 819832 1229748 1552951 1639664 2459496 3105902 3279328 4658853 4918992 6211804 9317706 9837984 12423608 18635412 20188363 24847216 37270824 40376726 49694432 60565089 74541648 80753452 121130178 149083296 161506904 242260356 323013808 484520712 646027616 969041424 1938082848