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530004468 = 223719834001
BaseRepresentation
bin11111100101110…
…011100111110100
31100221022000110010
4133211303213310
52041140120333
6124331500220
716063651350
oct3745634764
91327260403
10530004468
112521a0224
121295b7670
1385a5c116
1450566460
15317e3563
hex1f9739f4

530004468 has 96 divisors (see below), whose sum is σ = 1506032640. Its totient is φ = 141696000.

The previous prime is 530004467. The next prime is 530004481. The reversal of 530004468 is 864400035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530004467) 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, 130468 + ... + 134468.

It is an arithmetic number, because the mean of its divisors is an integer number (15687840).

Almost surely, 2530004468 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 530004468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753016320).

530004468 is an abundant number, since it is smaller than the sum of its proper divisors (976028172).

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

530004468 is a wasteful number, since it uses less digits than its factorization.

530004468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 530004468 is about 23021.8259049972. The cubic root of 530004468 is about 809.2695075421.

The spelling of 530004468 in words is "five hundred thirty million, four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 83 84 114 133 166 228 249 266 332 399 498 532 581 798 996 1162 1577 1596 1743 2324 3154 3486 4001 4731 6308 6972 8002 9462 11039 12003 16004 18924 22078 24006 28007 33117 44156 48012 56014 66234 76019 84021 112028 132468 152038 168042 228057 304076 332083 336084 456114 532133 664166 912228 996249 1064266 1328332 1596399 1992498 2128532 2324581 3192798 3984996 4649162 6309577 6385596 6973743 9298324 12619154 13947486 18928731 25238308 27894972 37857462 44167039 75714924 88334078 132501117 176668156 265002234 530004468