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4984984224 = 2532111573543
BaseRepresentation
bin1001010010010000…
…01101001010100000
3110212102010102210100
410221020031022200
540202123443344
62142353302400
7234350444463
oct45110151240
913772112710
104984984224
112128991480
12b71564a00
13615a0200c
143540b32da
151e298c569
hex12920d2a0

4984984224 has 72 divisors (see below), whose sum is σ = 15464790432. Its totient is φ = 1510600320.

The previous prime is 4984984223. The next prime is 4984984297. The reversal of 4984984224 is 4224894894.

It is a happy number.

4984984224 is a `hidden beast` number, since 4 + 98 + 498 + 42 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (4984984223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 783604 + ... + 789939.

It is an arithmetic number, because the mean of its divisors is an integer number (214788756).

Almost surely, 24984984224 is an apocalyptic number.

4984984224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4984984224 is an abundant number, since it is smaller than the sum of its proper divisors (10479806208).

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

4984984224 is a wasteful number, since it uses less digits than its factorization.

4984984224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573570 (or 1573559 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 4984984224 is about 70604.4207114540. The cubic root of 4984984224 is about 1708.2624558519.

The spelling of 4984984224 in words is "four billion, nine hundred eighty-four million, nine hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 1573543 3147086 4720629 6294172 9441258 12588344 14161887 17308973 18882516 25176688 28323774 34617946 37765032 50353376 51926919 56647548 69235892 75530064 103853838 113295096 138471784 151060128 155780757 207707676 226590192 276943568 311561514 415415352 453180384 553887136 623123028 830830704 1246246056 1661661408 2492492112 4984984224