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47117040 = 24351371433
BaseRepresentation
bin1011001110111…
…1001011110000
310021122210102120
42303233023300
544030221130
64401514240
71111326315
oct263571360
9107583376
1047117040
1124661803
1213942980
1399b9109
146386d0c
15420a910
hex2cef2f0

47117040 has 80 divisors (see below), whose sum is σ = 147231648. Its totient is φ = 12464128.

The previous prime is 47117033. The next prime is 47117107. The reversal of 47117040 is 4071174.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 47117040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32164 + ... + 33596.

Almost surely, 247117040 is an apocalyptic number.

47117040 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 47117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73615824).

47117040 is an abundant number, since it is smaller than the sum of its proper divisors (100114608).

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

47117040 is a wasteful number, since it uses less digits than its factorization.

47117040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 47117040 is about 6864.1853121838. The cubic root of 47117040 is about 361.1819178619.

The spelling of 47117040 in words is "forty-seven million, one hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1433 1644 2055 2192 2740 2866 3288 4110 4299 5480 5732 6576 7165 8220 8598 10960 11464 14330 16440 17196 21495 22928 28660 32880 34392 42990 57320 68784 85980 114640 171960 196321 343920 392642 588963 785284 981605 1177926 1570568 1963210 2355852 2944815 3141136 3926420 4711704 5889630 7852840 9423408 11779260 15705680 23558520 47117040