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48025764448 = 253164774827
BaseRepresentation
bin101100101110100011…
…110000001001100000
311120221222221121120121
4230232203300021200
51241324043430243
634021314450024
73320060155654
oct545643601140
9146858847517
1048025764448
1119405323722
129383893914
1346b4a467cc
142478460a64
1513b13c11ed
hexb2e8f0260

48025764448 has 48 divisors (see below), whose sum is σ = 97752904704. Its totient is φ = 23202046080.

The previous prime is 48025764427. The next prime is 48025764461. The reversal of 48025764448 is 84446752084.

It is a junction number, because it is equal to n+sod(n) for n = 48025764395 and 48025764404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604411 + ... + 679237.

It is an arithmetic number, because the mean of its divisors is an integer number (2036518848).

Almost surely, 248025764448 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 48025764448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48876452352).

48025764448 is an abundant number, since it is smaller than the sum of its proper divisors (49727140256).

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

48025764448 is a wasteful number, since it uses less digits than its factorization.

48025764448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75515 (or 75507 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 52.

The spelling of 48025764448 in words is "forty-eight billion, twenty-five million, seven hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 647 992 1294 2588 5176 10352 20057 20704 40114 74827 80228 149654 160456 299308 320912 598616 641824 1197232 2319637 2394464 4639274 9278548 18557096 37114192 48413069 74228384 96826138 193652276 387304552 774609104 1500805139 1549218208 3001610278 6003220556 12006441112 24012882224 48025764448