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1042494880 = 25576115259
BaseRepresentation
bin111110001000110…
…011010110100000
32200122122020010111
4332020303112200
54113334314010
6251240141104
734556026450
oct7610632640
92618566114
101042494880
11495508919
12251167794
13137c9849b
149c64dd60
15617c758a
hex3e2335a0

1042494880 has 96 divisors (see below), whose sum is σ = 2861066880. Its totient is φ = 351544320.

The previous prime is 1042494863. The next prime is 1042494889. The reversal of 1042494880 is 884942401.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1042494889) 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, 60691 + ... + 75949.

It is an arithmetic number, because the mean of its divisors is an integer number (29802780).

Almost surely, 21042494880 is an apocalyptic number.

1042494880 is a gapful number since it is divisible by the number (10) 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 1042494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430533440).

1042494880 is an abundant number, since it is smaller than the sum of its proper divisors (1818572000).

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

1042494880 is a wasteful number, since it uses less digits than its factorization.

1042494880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15342 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 1042494880 is about 32287.6892948381. The cubic root of 1042494880 is about 1013.9689206668.

The spelling of 1042494880 in words is "one billion, forty-two million, four hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 70 80 112 122 140 160 224 244 280 305 427 488 560 610 854 976 1120 1220 1708 1952 2135 2440 3416 4270 4880 6832 8540 9760 13664 15259 17080 30518 34160 61036 68320 76295 106813 122072 152590 213626 244144 305180 427252 488288 534065 610360 854504 930799 1068130 1220720 1709008 1861598 2136260 2441440 3418016 3723196 4272520 4653995 6515593 7446392 8545040 9307990 13031186 14892784 17090080 18615980 26062372 29785568 32577965 37231960 52124744 65155930 74463920 104249488 130311860 148927840 208498976 260623720 521247440 1042494880