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4190450992 = 247213231627
BaseRepresentation
bin1111100111000101…
…0011010100110000
3101211001001222002121
43321301103110300
532040223412432
61531451524024
7205562150200
oct37161232460
911731058077
104190450992
111860444942
1298b459614
1351a214500
142ba76c400
15197d45197
hexf9c53530

4190450992 has 90 divisors (see below), whose sum is σ = 10227261708. Its totient is φ = 1657708416.

The previous prime is 4190450911. The next prime is 4190450993. The reversal of 4190450992 is 2990540914.

4190450992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4190450993) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116683 + ... + 148309.

Almost surely, 24190450992 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 4190450992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113630854).

4190450992 is an abundant number, since it is smaller than the sum of its proper divisors (6036810716).

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

4190450992 is a wasteful number, since it uses less digits than its factorization.

4190450992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31675 (or 31649 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 4190450992 is about 64733.6928654623. The cubic root of 4190450992 is about 1612.2049687338.

The spelling of 4190450992 in words is "four billion, one hundred ninety million, four hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 4732 5096 8281 9464 10192 16562 18928 31627 33124 63254 66248 126508 132496 221389 253016 411151 442778 506032 822302 885556 1549723 1644604 1771112 2878057 3099446 3289208 3542224 5344963 5756114 6198892 6578416 10689926 11512228 12397784 20146399 21379852 23024456 24795568 37414741 40292798 42759704 46048912 74829482 80585596 85519408 149658964 161171192 261903187 299317928 322342384 523806374 598635856 1047612748 2095225496 4190450992