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4948464096 = 253310753527
BaseRepresentation
bin1001001101111001…
…11001000111100000
3110202212102000121000
410212330321013200
540113301322341
62135010432000
7233425152012
oct44674710740
913685360530
104948464096
11210a308354
12b61292600
1360b286384
1434d2c81b2
151de6768b6
hex126f391e0

4948464096 has 96 divisors (see below), whose sum is σ = 14568180480. Its totient is φ = 1634041728.

The previous prime is 4948464089. The next prime is 4948464109. The reversal of 4948464096 is 6904648494.

It is a happy number.

4948464096 is a `hidden beast` number, since 4 + 94 + 8 + 464 + 0 + 96 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65685 + ... + 119211.

It is an arithmetic number, because the mean of its divisors is an integer number (151751880).

Almost surely, 24948464096 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 4948464096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284090240).

4948464096 is an abundant number, since it is smaller than the sum of its proper divisors (9619716384).

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

4948464096 is a wasteful number, since it uses less digits than its factorization.

4948464096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53653 (or 53639 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 4948464096 is about 70345.3203560834. The cubic root of 4948464096 is about 1704.0806349464.

The spelling of 4948464096 in words is "four billion, nine hundred forty-eight million, four hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 288 321 428 432 642 856 864 963 1284 1712 1926 2568 2889 3424 3852 5136 5778 7704 10272 11556 15408 23112 30816 46224 53527 92448 107054 160581 214108 321162 428216 481743 642324 856432 963486 1284648 1445229 1712864 1926972 2569296 2890458 3853944 5138592 5727389 5780916 7707888 11454778 11561832 15415776 17182167 22909556 23123664 34364334 45819112 46247328 51546501 68728668 91638224 103093002 137457336 154639503 183276448 206186004 274914672 309279006 412372008 549829344 618558012 824744016 1237116024 1649488032 2474232048 4948464096