Search a number
-
+
7490841000 = 2335312719661
BaseRepresentation
bin1101111100111110…
…10010100110101000
3201100001100011001120
412332133102212220
5110320123403000
63235150415240
7353426045406
oct67637224650
921301304046
107490841000
1131a4425795
121550801520
13924c021c6
14510c0a476
152dc9736a0
hex1be7d29a8

7490841000 has 128 divisors (see below), whose sum is σ = 23556648960. Its totient is φ = 1981728000.

The previous prime is 7490840993. The next prime is 7490841011. The reversal of 7490841000 is 1480947.

It is a super-2 number, since 2×74908410002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371170 + ... + 390830.

It is an arithmetic number, because the mean of its divisors is an integer number (184036320).

Almost surely, 27490841000 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 7490841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11778324480).

7490841000 is an abundant number, since it is smaller than the sum of its proper divisors (16065807960).

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

7490841000 is a wasteful number, since it uses less digits than its factorization.

7490841000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19812 (or 19798 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 7490841000 is about 86549.6447133089. The cubic root of 7490841000 is about 1956.6366899504.

The spelling of 7490841000 in words is "seven billion, four hundred ninety million, eight hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 127 150 200 250 254 300 375 381 500 508 600 635 750 762 1000 1016 1270 1500 1524 1905 2540 3000 3048 3175 3810 5080 6350 7620 9525 12700 15240 15875 19050 19661 25400 31750 38100 39322 47625 58983 63500 76200 78644 95250 98305 117966 127000 157288 190500 196610 235932 294915 381000 393220 471864 491525 589830 786440 983050 1179660 1474575 1966100 2359320 2457625 2496947 2949150 3932200 4915250 4993894 5898300 7372875 7490841 9830500 9987788 11796600 12484735 14745750 14981682 19661000 19975576 24969470 29491500 29963364 37454205 49938940 58983000 59926728 62423675 74908410 99877880 124847350 149816820 187271025 249694700 299633640 312118375 374542050 499389400 624236750 749084100 936355125 1248473500 1498168200 1872710250 2496947000 3745420500 7490841000