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47020480 = 2651389127
BaseRepresentation
bin1011001101011…
…1100111000000
310021110212222021
42303113213000
544014123410
64355451224
71110444643
oct263274700
9107425867
1047020480
11245a6201
12138b6b14
139984190
14635da5a
1541dbeda
hex2cd79c0

47020480 has 112 divisors (see below), whose sum is σ = 122895360. Its totient is φ = 17031168.

The previous prime is 47020469. The next prime is 47020483. The reversal of 47020480 is 8402074.

47020480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47020483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370177 + ... + 370303.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 247020480 is an apocalyptic number.

47020480 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 47020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

47020480 is an abundant number, since it is smaller than the sum of its proper divisors (75874880).

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

47020480 is a wasteful number, since it uses less digits than its factorization.

47020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 47020480 is about 6857.1480952361. The cubic root of 47020480 is about 360.9350179611.

The spelling of 47020480 in words is "forty-seven million, twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 89 104 127 130 160 178 208 254 260 320 356 416 445 508 520 635 712 832 890 1016 1040 1157 1270 1424 1651 1780 2032 2080 2314 2540 2848 3302 3560 4064 4160 4628 5080 5696 5785 6604 7120 8128 8255 9256 10160 11303 11570 13208 14240 16510 18512 20320 22606 23140 26416 28480 33020 37024 40640 45212 46280 52832 56515 66040 74048 90424 92560 105664 113030 132080 146939 180848 185120 226060 264160 293878 361696 370240 452120 528320 587756 723392 734695 904240 1175512 1469390 1808480 2351024 2938780 3616960 4702048 5877560 9404096 11755120 23510240 47020480