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47962240 = 27574941
BaseRepresentation
bin1011011011110…
…1100010000000
310100020201211021
42312331202000
544234242430
64431555224
71121446414
oct266754200
9110221737
1047962240
1125089817
121408bb14
139c23a31
146526d44
15432607a
hex2dbd880

47962240 has 32 divisors (see below), whose sum is σ = 114661260. Its totient is φ = 19184640.

The previous prime is 47962217. The next prime is 47962247. The reversal of 47962240 is 4226974.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 3125824 = 6696^2 + 1768^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 47962196 and 47962205.

It is not an unprimeable number, because it can be changed into a prime (47962247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36831 + ... + 38110.

Almost surely, 247962240 is an apocalyptic number.

47962240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47962240 is an abundant number, since it is smaller than the sum of its proper divisors (66699020).

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

47962240 is an equidigital number, since it uses as much as digits as its factorization.

47962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74960 (or 74948 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 47962240 is about 6925.4776008590. The cubic root of 47962240 is about 363.3287956863.

The spelling of 47962240 in words is "forty-seven million, nine hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 74941 149882 299764 374705 599528 749410 1199056 1498820 2398112 2997640 4796224 5995280 9592448 11990560 23981120 47962240