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4880484480 = 27352541919
BaseRepresentation
bin1001000101110011…
…00100100010000000
3110121010111022002110
410202321210202000
534443401000410
62124141415320
7231641301504
oct44271444200
913533438073
104880484480
1120849a7253
12b4256a540
135ca174351
14344270304
151d86e9720
hex122e64880

4880484480 has 64 divisors (see below), whose sum is σ = 15556550400. Its totient is φ = 1301462016.

The previous prime is 4880484451. The next prime is 4880484509. The reversal of 4880484480 is 844840884.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4880484451) and next prime (4880484509).

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 an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1269040 + ... + 1272879.

It is an arithmetic number, because the mean of its divisors is an integer number (243071100).

Almost surely, 24880484480 is an apocalyptic number.

4880484480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4880484480 is an abundant number, since it is smaller than the sum of its proper divisors (10676065920).

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

4880484480 is a wasteful number, since it uses less digits than its factorization.

4880484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541941 (or 2541929 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 4880484480 is about 69860.4643557427. The cubic root of 4880484480 is about 1696.2413475215.

It can be divided in two parts, 488048 and 4480, that added together give a triangular number (492528 = T992).

The spelling of 4880484480 in words is "four billion, eight hundred eighty million, four hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2541919 5083838 7625757 10167676 12709595 15251514 20335352 25419190 30503028 38128785 40670704 50838380 61006056 76257570 81341408 101676760 122012112 152515140 162682816 203353520 244024224 305030280 325365632 406707040 488048448 610060560 813414080 976096896 1220121120 1626828160 2440242240 4880484480