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5024984448 = 273111189627
BaseRepresentation
bin1001010111000001…
…10010110110000000
3110222012101122210010
410223200302312000
540242344000243
62150342504520
7235344443301
oct45340626600
913865348703
105024984448
112149522210
12b82a35140
136210989a3
143595267a8
151e623e433
hex12b832d80

5024984448 has 64 divisors (see below), whose sum is σ = 14561046720. Its totient is φ = 1522721280.

The previous prime is 5024984443. The next prime is 5024984449. The reversal of 5024984448 is 8444894205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5024984397 and 5024984406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5024984441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590590 + ... + 599037.

It is an arithmetic number, because the mean of its divisors is an integer number (227516355).

Almost surely, 25024984448 is an apocalyptic number.

It is an amenable number.

5024984448 is an abundant number, since it is smaller than the sum of its proper divisors (9536062272).

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

5024984448 is a wasteful number, since it uses less digits than its factorization.

5024984448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189655 (or 1189643 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 5024984448 is about 70887.1246983541. The cubic root of 5024984448 is about 1712.8194027854.

The spelling of 5024984448 in words is "five billion, twenty-four million, nine hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 1189627 2379254 3568881 4758508 7137762 9517016 13085897 14275524 19034032 26171794 28551048 38068064 39257691 52343588 57102096 76136128 78515382 104687176 114204192 152272256 157030764 209374352 228408384 314061528 418748704 456816768 628123056 837497408 1256246112 1674994816 2512492224 5024984448