[go: up one dir, main page]

Search a number
-
+
47496480 = 2535531867
BaseRepresentation
bin1011010100101…
…1110100100000
310022101001220220
42311023310200
544124341410
64414003040
71114466463
oct265136440
9108331826
1047496480
11248a0899
1213aa6480
139abca35
1464452da
154283070
hex2d4bd20

47496480 has 96 divisors (see below), whose sum is σ = 152518464. Its totient is φ = 12420096.

The previous prime is 47496473. The next prime is 47496497. The reversal of 47496480 is 8469474.

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

It is a super-2 number, since 2×474964802 = 4511831224780800, which contains 22 as substring.

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, 24507 + ... + 26373.

It is an arithmetic number, because the mean of its divisors is an integer number (1588734).

Almost surely, 247496480 is an apocalyptic number.

47496480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76259232).

47496480 is an abundant number, since it is smaller than the sum of its proper divisors (105021984).

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

47496480 is a wasteful number, since it uses less digits than its factorization.

47496480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 47496480 is about 6891.7690036739. The cubic root of 47496480 is about 362.1488760175.

The spelling of 47496480 in words is "forty-seven million, four hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 1867 2120 2544 3180 3734 4240 5088 5601 6360 7468 8480 9335 11202 12720 14936 18670 22404 25440 28005 29872 37340 44808 56010 59744 74680 89616 98951 112020 149360 179232 197902 224040 296853 298720 395804 448080 494755 593706 791608 896160 989510 1187412 1484265 1583216 1979020 2374824 2968530 3166432 3958040 4749648 5937060 7916080 9499296 11874120 15832160 23748240 47496480