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47022040 = 23513312917
BaseRepresentation
bin1011001101011…
…1111111011000
310021110222010001
42303113333120
544014201130
64355502344
71110452332
oct263277730
9107428101
1047022040
11245a739a
12138b79b4
139984ac0
146360452
1541dc6ca
hex2cd7fd8

47022040 has 64 divisors (see below), whose sum is σ = 117653760. Its totient is φ = 16796160.

The previous prime is 47022037. The next prime is 47022049. The reversal of 47022040 is 4022074.

It is a super-2 number, since 2×470220402 = 4422144491523200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47021999 and 47022017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47022049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14662 + ... + 17578.

It is an arithmetic number, because the mean of its divisors is an integer number (1838340).

Almost surely, 247022040 is an apocalyptic number.

47022040 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 47022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58826880).

47022040 is an abundant number, since it is smaller than the sum of its proper divisors (70631720).

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

47022040 is a wasteful number, since it uses less digits than its factorization.

47022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 47022040 is about 6857.2618442057. The cubic root of 47022040 is about 360.9390095013.

The spelling of 47022040 in words is "forty-seven million, twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 2917 3224 4030 5834 8060 11668 14585 16120 23336 29170 37921 58340 75842 90427 116680 151684 180854 189605 303368 361708 379210 452135 723416 758420 904270 1175551 1516840 1808540 2351102 3617080 4702204 5877755 9404408 11755510 23511020 47022040