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47055840 = 2535137541
BaseRepresentation
bin1011001110000…
…0001111100000
310021112200110220
42303200033200
544021241330
64400323040
71110653016
oct263401740
9107480426
1047055840
112461a827
1213913480
1399972c0
14636c8b6
1541e7710
hex2ce03e0

47055840 has 96 divisors (see below), whose sum is σ = 159649056. Its totient is φ = 11581440.

The previous prime is 47055817. The next prime is 47055851. The reversal of 47055840 is 4855074.

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

It is a congruent number.

It is an unprimeable number.

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, 2470 + ... + 10010.

It is an arithmetic number, because the mean of its divisors is an integer number (1663011).

Almost surely, 247055840 is an apocalyptic number.

47055840 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 47055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79824528).

47055840 is an abundant number, since it is smaller than the sum of its proper divisors (112593216).

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

47055840 is a wasteful number, since it uses less digits than its factorization.

47055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 47055840 is about 6859.7259420475. The cubic root of 47055840 is about 361.0254712015.

It can be divided in two parts, 47055 and 840, that added together give a triangular number (47895 = T309).

The spelling of 47055840 in words is "forty-seven million, fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 7541 15082 22623 30164 37705 45246 60328 75410 90492 98033 113115 120656 150820 180984 196066 226230 241312 294099 301640 361968 392132 452460 490165 588198 603280 723936 784264 904920 980330 1176396 1206560 1470495 1568528 1809840 1960660 2352792 2940990 3137056 3619680 3921320 4705584 5881980 7842640 9411168 11763960 15685280 23527920 47055840