Search a number
-
+
42780074080 = 255337793399
BaseRepresentation
bin100111110101111001…
…000010000001100000
311002102102020221012011
4213311321002001200
51200103144332310
631353005242304
73043062426022
oct476571020140
9132372227164
1042780074080
1117163266927
12835ab63394
13405a024003
1420db8c6012
1511a5ad778a
hex9f5e42060

42780074080 has 48 divisors (see below), whose sum is σ = 101367957600. Its totient is φ = 17061230592.

The previous prime is 42780074053. The next prime is 42780074087. The reversal of 42780074080 is 8047008724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42780074087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342780 + ... + 450619.

It is an arithmetic number, because the mean of its divisors is an integer number (2111832450).

Almost surely, 242780074080 is an apocalyptic number.

42780074080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42780074080 is an abundant number, since it is smaller than the sum of its proper divisors (58587883520).

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

42780074080 is a wasteful number, since it uses less digits than its factorization.

42780074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793751 (or 793743 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The spelling of 42780074080 in words is "forty-two billion, seven hundred eighty million, seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337 674 1348 1685 2696 3370 5392 6740 10784 13480 26960 53920 793399 1586798 3173596 3966995 6347192 7933990 12694384 15867980 25388768 31735960 63471920 126943840 267375463 534750926 1069501852 1336877315 2139003704 2673754630 4278007408 5347509260 8556014816 10695018520 21390037040 42780074080