Search a number
-
+
42589670448 = 24313647105491
BaseRepresentation
bin100111101010100010…
…101100110000110000
311001221010222102111210
4213222202230300300
51144210423423243
631322044240120
73035261140263
oct475242546060
9131833872453
1042589670448
1117075838856
128307240040
134029749940
1420c04c0cda
151194026933
hex9ea8acc30

42589670448 has 80 divisors (see below), whose sum is σ = 118670904576. Its totient is φ = 13084135680.

The previous prime is 42589670341. The next prime is 42589670449. The reversal of 42589670448 is 84407698524.

It is not an unprimeable number, because it can be changed into a prime (42589670449) 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, 350983 + ... + 456473.

Almost surely, 242589670448 is an apocalyptic number.

42589670448 is a gapful number since it is divisible by the number (48) 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 42589670448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59335452288).

42589670448 is an abundant number, since it is smaller than the sum of its proper divisors (76081234128).

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

42589670448 is a wasteful number, since it uses less digits than its factorization.

42589670448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106162 (or 106156 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 42589670448 in words is "forty-two billion, five hundred eighty-nine million, six hundred seventy thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 647 1294 1941 2588 3882 5176 7764 8411 10352 15528 16822 25233 31056 33644 50466 67288 100932 105491 134576 201864 210982 316473 403728 421964 632946 843928 1265892 1371383 1687856 2531784 2742766 4114149 5063568 5485532 8228298 10971064 16456596 21942128 32913192 65826384 68252677 136505354 204758031 273010708 409516062 546021416 819032124 887284801 1092042832 1638064248 1774569602 2661854403 3276128496 3549139204 5323708806 7098278408 10647417612 14196556816 21294835224 42589670448