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1049374440 = 233451631987
BaseRepresentation
bin111110100011000…
…010111011101000
32201010120202010000
4332203002323220
54122114440230
6252043423000
735001351462
oct7643027350
92633522100
101049374440
11499387604
12253524a60
1313953692a
149d521132
15621d5b60
hex3e8c2ee8

1049374440 has 160 divisors (see below), whose sum is σ = 3550488480. Its totient is φ = 277976448.

The previous prime is 1049374439. The next prime is 1049374481. The reversal of 1049374440 is 444739401.

It is a super-2 number, since 2×10493744402 = 2202373430650627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1049374395 and 1049374404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 527127 + ... + 529113.

It is an arithmetic number, because the mean of its divisors is an integer number (22190553).

Almost surely, 21049374440 is an apocalyptic number.

1049374440 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 1049374440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775244240).

1049374440 is an abundant number, since it is smaller than the sum of its proper divisors (2501114040).

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

1049374440 is a wasteful number, since it uses less digits than its factorization.

1049374440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1049374440 is about 32394.0494535648. The cubic root of 1049374440 is about 1016.1944700803.

The spelling of 1049374440 in words is "one billion, forty-nine million, three hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 163 180 216 270 324 326 360 405 489 540 648 652 810 815 978 1080 1304 1467 1620 1630 1956 1987 2445 2934 3240 3260 3912 3974 4401 4890 5868 5961 6520 7335 7948 8802 9780 9935 11736 11922 13203 14670 15896 17604 17883 19560 19870 22005 23844 26406 29340 29805 35208 35766 39740 44010 47688 52812 53649 58680 59610 66015 71532 79480 88020 89415 105624 107298 119220 132030 143064 160947 176040 178830 214596 238440 264060 268245 321894 323881 357660 429192 528120 536490 643788 647762 715320 804735 971643 1072980 1287576 1295524 1609470 1619405 1943286 2145960 2591048 2914929 3218940 3238810 3886572 4858215 5829858 6437880 6477620 7773144 8744787 9716430 11659716 12955240 14574645 17489574 19432860 23319432 26234361 29149290 34979148 38865720 43723935 52468722 58298580 69958296 87447870 104937444 116597160 131171805 174895740 209874888 262343610 349791480 524687220 1049374440