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4955460948 = 2232293469801
BaseRepresentation
bin1001001110101111…
…00101010101010100
3110210100120111110200
410213113211111110
540122044222243
62135420420500
7233541503004
oct44727452524
913710514420
104955460948
112113257179
12b636a7730
1360c866019
143501ca004
151e00a9ad3
hex1275e5554

4955460948 has 36 divisors (see below), whose sum is σ = 12569082708. Its totient is φ = 1646179200.

The previous prime is 4955460943. The next prime is 4955460989. The reversal of 4955460948 is 8490645594.

4955460948 is a `hidden beast` number, since 4 + 9 + 5 + 546 + 0 + 94 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4841654724 + 113806224 = 69582^2 + 10668^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 4955460894 and 4955460903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4955460943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224353 + ... + 245448.

Almost surely, 24955460948 is an apocalyptic number.

It is an amenable number.

4955460948 is an abundant number, since it is smaller than the sum of its proper divisors (7613621760).

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

4955460948 is a wasteful number, since it uses less digits than its factorization.

4955460948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470104 (or 470099 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 4955460948 is about 70395.0349669634. The cubic root of 4955460948 is about 1704.8834150008.

The spelling of 4955460948 in words is "four billion, nine hundred fifty-five million, four hundred sixty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2637 3516 5274 10548 469801 939602 1409403 1879204 2818806 4228209 5637612 8456418 16912836 137651693 275303386 412955079 550606772 825910158 1238865237 1651820316 2477730474 4955460948