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4954390320 = 2435114739929
BaseRepresentation
bin1001001110100110…
…11111111100110000
3110210021120002211210
410213103133330300
540121310442240
62135341440120
7233526423435
oct44723377460
913707502753
104954390320
112112695860
12b63270040
1360c57c909
1434ddcbb8c
151dee47780
hex1274dff30

4954390320 has 160 divisors (see below), whose sum is σ = 17111761920. Its totient is φ = 1175480320.

The previous prime is 4954390319. The next prime is 4954390327. The reversal of 4954390320 is 230934594.

It is not an unprimeable number, because it can be changed into a prime (4954390327) by changing a digit.

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, 104116 + ... + 144044.

It is an arithmetic number, because the mean of its divisors is an integer number (106948512).

Almost surely, 24954390320 is an apocalyptic number.

4954390320 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 4954390320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555880960).

4954390320 is an abundant number, since it is smaller than the sum of its proper divisors (12157371600).

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

4954390320 is a wasteful number, since it uses less digits than its factorization.

4954390320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40003 (or 39997 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 4954390320 is about 70387.4301278289. The cubic root of 4954390320 is about 1704.7606260610.

The spelling of 4954390320 in words is "four billion, nine hundred fifty-four million, three hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 264 282 330 376 440 470 517 528 564 660 705 752 880 940 1034 1128 1320 1410 1551 1880 2068 2256 2585 2640 2820 3102 3760 4136 5170 5640 6204 7755 8272 10340 11280 12408 15510 20680 24816 31020 39929 41360 62040 79858 119787 124080 159716 199645 239574 319432 399290 439219 479148 598935 638864 798580 878438 958296 1197870 1317657 1597160 1756876 1876663 1916592 2196095 2395740 2635314 3194320 3513752 3753326 4392190 4791480 5270628 5629989 6588285 7027504 7506652 8784380 9383315 9582960 10541256 11259978 13176570 15013304 17568760 18766630 20643293 21082512 22519956 26353140 28149945 30026608 35137520 37533260 41286586 45039912 52706280 56299890 61929879 75066520 82573172 90079824 103216465 105412560 112599780 123859758 150133040 165146344 206432930 225199560 247719516 309649395 330292688 412865860 450399120 495439032 619298790 825731720 990878064 1238597580 1651463440 2477195160 4954390320