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47873040 = 24351511321
BaseRepresentation
bin1011011010011…
…1110000010000
310100002012110120
42312213300100
544223414130
64430030240
71120625355
oct266476020
9110065416
1047873040
11250287a6
1214048380
139bc2257
14650262c
154309910
hex2da7c10

47873040 has 80 divisors (see below), whose sum is σ = 149502336. Its totient is φ = 12672000.

The previous prime is 47873029. The next prime is 47873053. The reversal of 47873040 is 4037874.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 47872992 and 47873010.

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, 35580 + ... + 36900.

Almost surely, 247873040 is an apocalyptic number.

47873040 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 47873040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74751168).

47873040 is an abundant number, since it is smaller than the sum of its proper divisors (101629296).

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

47873040 is a wasteful number, since it uses less digits than its factorization.

47873040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 47873040 is about 6919.0346147421. The cubic root of 47873040 is about 363.1034167167.

The spelling of 47873040 in words is "forty-seven million, eight hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1321 1510 1812 2265 2416 2642 3020 3624 3963 4530 5284 6040 6605 7248 7926 9060 10568 12080 13210 15852 18120 19815 21136 26420 31704 36240 39630 52840 63408 79260 105680 158520 199471 317040 398942 598413 797884 997355 1196826 1595768 1994710 2393652 2992065 3191536 3989420 4787304 5984130 7978840 9574608 11968260 15957680 23936520 47873040