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47924040 = 2335616547
BaseRepresentation
bin1011011011010…
…0001101001000
310100011210102110
42312310031020
544232032130
64431102320
71121230143
oct266641510
9110153373
1047924040
112506304a
12140719a0
139c0c528
14651705a
154319ab0
hex2db4348

47924040 has 64 divisors (see below), whose sum is σ = 146151360. Its totient is φ = 12568320.

The previous prime is 47924033. The next prime is 47924053. The reversal of 47924040 is 4042974.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 47923989 and 47924007.

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, 4047 + ... + 10593.

It is an arithmetic number, because the mean of its divisors is an integer number (2283615).

Almost surely, 247924040 is an apocalyptic number.

47924040 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 47924040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73075680).

47924040 is an abundant number, since it is smaller than the sum of its proper divisors (98227320).

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

47924040 is a wasteful number, since it uses less digits than its factorization.

47924040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 47924040 is about 6922.7191189590. The cubic root of 47924040 is about 363.2323111299.

The spelling of 47924040 in words is "forty-seven million, nine hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 6547 7320 13094 19641 26188 32735 39282 52376 65470 78564 98205 130940 157128 196410 261880 392820 399367 785640 798734 1198101 1597468 1996835 2396202 3194936 3993670 4792404 5990505 7987340 9584808 11981010 15974680 23962020 47924040