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47874240 = 263451847
BaseRepresentation
bin1011011010100…
…0000011000000
310100002021010000
42312220003000
544223433430
64430040000
71120632021
oct266500300
9110067100
1047874240
1125029697
1214049000
139bc296b
146502c48
154309e60
hex2da80c0

47874240 has 140 divisors (see below), whose sum is σ = 170389296. Its totient is φ = 12759552.

The previous prime is 47874223. The next prime is 47874259. The reversal of 47874240 is 4247874.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47874195 and 47874204.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24997 + ... + 26843.

Almost surely, 247874240 is an apocalyptic number.

47874240 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 47874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85194648).

47874240 is an abundant number, since it is smaller than the sum of its proper divisors (122515056).

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

47874240 is a wasteful number, since it uses less digits than its factorization.

47874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 47874240 is about 6919.1213314987. The cubic root of 47874240 is about 363.1064505778.

The spelling of 47874240 in words is "forty-seven million, eight hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 1847 2160 2592 2880 3240 3694 4320 5184 5541 6480 7388 8640 9235 11082 12960 14776 16623 18470 22164 25920 27705 29552 33246 36940 44328 49869 55410 59104 66492 73880 83115 88656 99738 110820 118208 132984 147760 149607 166230 177312 199476 221640 249345 265968 295520 299214 332460 354624 398952 443280 498690 531936 591040 598428 664920 748035 797904 886560 997380 1063872 1196856 1329840 1496070 1595808 1773120 1994760 2393712 2659680 2992140 3191616 3989520 4787424 5319360 5984280 7979040 9574848 11968560 15958080 23937120 47874240