Search a number
-
+
4991057040 = 2435233129167
BaseRepresentation
bin1001010010111110…
…10111110010010000
3110212211112222010110
410221133113302100
540210202311130
62143131401320
7234453166464
oct45137276220
913784488113
104991057040
11213135a032
12b735b3240
1361704a1b8
14354c144a4
151e328bab0
hex1297d7c90

4991057040 has 160 divisors (see below), whose sum is σ = 16666361856. Its totient is φ = 1231971840.

The previous prime is 4991056981. The next prime is 4991057053. The reversal of 4991057040 is 407501994.

It is a self number, because there is not a number n which added to its sum of digits gives 4991057040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156537 + ... + 185703.

Almost surely, 24991057040 is an apocalyptic number.

4991057040 is a gapful number since it is divisible by the number (40) 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 4991057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8333180928).

4991057040 is an abundant number, since it is smaller than the sum of its proper divisors (11675304816).

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

4991057040 is a wasteful number, since it uses less digits than its factorization.

4991057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29237 (or 29231 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 4991057040 is about 70647.4135407659. The cubic root of 4991057040 is about 1708.9558551594.

The spelling of 4991057040 in words is "four billion, nine hundred ninety-one million, fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 620 690 713 744 920 930 1104 1240 1380 1426 1488 1840 1860 2139 2480 2760 2852 3565 3720 4278 5520 5704 7130 7440 8556 10695 11408 14260 17112 21390 28520 29167 34224 42780 57040 58334 85560 87501 116668 145835 171120 175002 233336 291670 350004 437505 466672 583340 670841 700008 875010 904177 1166680 1341682 1400016 1750020 1808354 2012523 2333360 2683364 2712531 3354205 3500040 3616708 4025046 4520885 5366728 5425062 6708410 7000080 7233416 8050092 9041770 10062615 10733456 10850124 13416820 13562655 14466832 16100184 18083540 20125230 20796071 21700248 26833640 27125310 32200368 36167080 40250460 41592142 43400496 53667280 54250620 62388213 72334160 80500920 83184284 103980355 108501240 124776426 161001840 166368568 207960710 217002480 249552852 311941065 332737136 415921420 499105704 623882130 831842840 998211408 1247764260 1663685680 2495528520 4991057040