Search a number
-
+
1898116896 = 253133794013
BaseRepresentation
bin111000100100010…
…1111011100100000
311220021122022212210
41301020233130200
512341404220041
6512203122120
765015504334
oct16110573440
94807568783
101898116896
1189448a355
1244b813340
132433246c0
141401377c4
15b198a016
hex7122f720

1898116896 has 96 divisors (see below), whose sum is σ = 5381328960. Its totient is φ = 582349824.

The previous prime is 1898116889. The next prime is 1898116897. The reversal of 1898116896 is 6986118981.

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

It is not an unprimeable number, because it can be changed into a prime (1898116897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470986 + ... + 474998.

It is an arithmetic number, because the mean of its divisors is an integer number (56055510).

Almost surely, 21898116896 is an apocalyptic number.

1898116896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1898116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690664480).

1898116896 is an abundant number, since it is smaller than the sum of its proper divisors (3483212064).

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

1898116896 is a wasteful number, since it uses less digits than its factorization.

1898116896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4410 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 57.

The square root of 1898116896 is about 43567.3833962977. The cubic root of 1898116896 is about 1238.1530116240.

The spelling of 1898116896 in words is "one billion, eight hundred ninety-eight million, one hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 379 416 624 758 1137 1248 1516 2274 3032 4013 4548 4927 6064 8026 9096 9854 12039 12128 14781 16052 18192 19708 24078 29562 32104 36384 39416 48156 52169 59124 64208 78832 96312 104338 118248 128416 156507 157664 192624 208676 236496 313014 385248 417352 472992 626028 834704 1252056 1520927 1669408 2504112 3041854 4562781 5008224 6083708 9125562 12167416 18251124 19772051 24334832 36502248 39544102 48669664 59316153 73004496 79088204 118632306 146008992 158176408 237264612 316352816 474529224 632705632 949058448 1898116896