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47014480 = 2454379173
BaseRepresentation
bin1011001101011…
…0001001010000
310021110120202001
42303112021100
544013430410
64355403344
71110421312
oct263261120
9107416661
1047014480
11245a1747
12138b3554
139981526
14635b7b2
1541da33a
hex2cd6250

47014480 has 80 divisors (see below), whose sum is σ = 113921280. Its totient is φ = 18031104.

The previous prime is 47014447. The next prime is 47014483. The reversal of 47014480 is 8441074.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×470144802 = 4420722659340800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47014483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 271674 + ... + 271846.

It is an arithmetic number, because the mean of its divisors is an integer number (1424016).

Almost surely, 247014480 is an apocalyptic number.

47014480 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 47014480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56960640).

47014480 is an abundant number, since it is smaller than the sum of its proper divisors (66906800).

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

47014480 is a wasteful number, since it uses less digits than its factorization.

47014480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 47014480 is about 6856.7105816127. The cubic root of 47014480 is about 360.9196650608.

The spelling of 47014480 in words is "forty-seven million, fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 79 80 86 158 172 173 215 316 344 346 395 430 632 688 692 790 860 865 1264 1384 1580 1720 1730 2768 3160 3397 3440 3460 6320 6794 6920 7439 13588 13667 13840 14878 16985 27176 27334 29756 33970 37195 54352 54668 59512 67940 68335 74390 109336 119024 135880 136670 148780 218672 271760 273340 297560 546680 587681 595120 1093360 1175362 2350724 2938405 4701448 5876810 9402896 11753620 23507240 47014480