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4241421984 = 253193175011
BaseRepresentation
bin1111110011001110…
…1111011010100000
3101221120222120011010
43330303233122200
532141301000414
61540512220520
7210051330522
oct37463573240
911846876133
104241421984
111887199128
129a453a740
1352794c867
142c3439a12
1519c562959
hexfccef6a0

4241421984 has 96 divisors (see below), whose sum is σ = 12097935360. Its totient is φ = 1296172800.

The previous prime is 4241421971. The next prime is 4241422001. The reversal of 4241421984 is 4891241424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 19039 + ... + 94049.

It is an arithmetic number, because the mean of its divisors is an integer number (126020160).

Almost surely, 24241421984 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 4241421984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048967680).

4241421984 is an abundant number, since it is smaller than the sum of its proper divisors (7856513376).

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

4241421984 is a wasteful number, since it uses less digits than its factorization.

4241421984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75074 (or 75066 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 4241421984 is about 65126.2004419112. The cubic root of 4241421984 is about 1618.7153845919.

The spelling of 4241421984 in words is "four billion, two hundred forty-one million, four hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 28272 56544 75011 150022 225033 300044 450066 600088 900132 1200176 1425209 1800264 2325341 2400352 2850418 3600528 4275627 4650682 5700836 6976023 7201056 8551254 9301364 11401672 13952046 17102508 18602728 22803344 27904092 34205016 37205456 44181479 45606688 55808184 68410032 74410912 88362958 111616368 132544437 136820064 176725916 223232736 265088874 353451832 530177748 706903664 1060355496 1413807328 2120710992 4241421984