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4971480 = 2335172437
BaseRepresentation
bin10010111101101111011000
3100100120120220
4102331233120
52233041410
6254320040
760154053
oct22755730
910316526
104971480
112896168
1217b9020
131050b07
14935a9a
15683070
hex4bdbd8

4971480 has 64 divisors (see below), whose sum is σ = 15798240. Its totient is φ = 1247232.

The previous prime is 4971443. The next prime is 4971493. The reversal of 4971480 is 841794.

4971480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49714802 = 49431226780800, which contains 22 as substring.

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, 822 + ... + 3258.

Almost surely, 24971480 is an apocalyptic number.

4971480 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 4971480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899120).

4971480 is an abundant number, since it is smaller than the sum of its proper divisors (10826760).

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

4971480 is a wasteful number, since it uses less digits than its factorization.

4971480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 4971480 is about 2229.6815916180. The cubic root of 4971480 is about 170.6718511066.

It can be divided in two parts, 49714 and 80, that added together give a palindrome (49794).

The spelling of 4971480 in words is "four million, nine hundred seventy-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2437 4874 7311 9748 12185 14622 19496 24370 29244 36555 41429 48740 58488 73110 82858 97480 124287 146220 165716 207145 248574 292440 331432 414290 497148 621435 828580 994296 1242870 1657160 2485740 4971480