Search a number
-
+
499999968 = 253213831609
BaseRepresentation
bin11101110011010…
…110010011100000
31021211211122000100
4131303112103200
52010444444333
6121340422400
715250633566
oct3563262340
91254748010
10499999968
11237267416
1211b547a00
137c785090
144a595a36
152dd68213
hex1dcd64e0

499999968 has 144 divisors (see below), whose sum is σ = 1550661840. Its totient is φ = 151898112.

The previous prime is 499999931. The next prime is 499999993. The reversal of 499999968 is 869999994.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 499999896 and 499999905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309948 + ... + 311556.

It is an arithmetic number, because the mean of its divisors is an integer number (10768485).

Almost surely, 2499999968 is an apocalyptic number.

499999968 is a gapful number since it is divisible by the number (48) 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 499999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775330920).

499999968 is an abundant number, since it is smaller than the sum of its proper divisors (1050661872).

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

499999968 is a wasteful number, since it uses less digits than its factorization.

499999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1710 counting only the distinct ones).

The product of its digits is 102036672, while the sum is 72.

The square root of 499999968 is about 22360.6790594561. The cubic root of 499999968 is about 793.7005090518.

The spelling of 499999968 in words is "four hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 83 96 104 117 144 156 166 208 234 249 288 312 332 416 468 498 624 664 747 936 996 1079 1248 1328 1494 1609 1872 1992 2158 2656 2988 3218 3237 3744 3984 4316 4827 5976 6436 6474 7968 8632 9654 9711 11952 12872 12948 14481 17264 19308 19422 20917 23904 25744 25896 28962 34528 38616 38844 41834 51488 51792 57924 62751 77232 77688 83668 103584 115848 125502 133547 154464 155376 167336 188253 231696 251004 267094 310752 334672 376506 400641 463392 502008 534188 669344 753012 801282 1004016 1068376 1201923 1506024 1602564 1736111 2008032 2136752 2403846 3012048 3205128 3472222 4273504 4807692 5208333 6024096 6410256 6944444 9615384 10416666 12820512 13888888 15624999 19230768 20833332 27777776 31249998 38461536 41666664 55555552 62499996 83333328 124999992 166666656 249999984 499999968