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47620000 = 25542381
BaseRepresentation
bin1011010110100…
…1111110100000
310022121100100201
42311221332200
544142320000
64420354544
71115522551
oct265517640
9108540321
1047620000
112497567a
1213b45a54
139b3401c
146478328
1542a996a
hex2d69fa0

47620000 has 60 divisors (see below), whose sum is σ = 117201546. Its totient is φ = 19040000.

The previous prime is 47619997. The next prime is 47620007. The reversal of 47620000 is 2674.

It can be written as a sum of positive squares in 5 ways, for example, as 3370896 + 44249104 = 1836^2 + 6652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47620000.

It is not an unprimeable number, because it can be changed into a prime (47620007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18810 + ... + 21190.

Almost surely, 247620000 is an apocalyptic number.

47620000 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 47620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58600773).

47620000 is an abundant number, since it is smaller than the sum of its proper divisors (69581546).

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

47620000 is an equidigital number, since it uses as much as digits as its factorization.

47620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 47620000 is about 6900.7245996344. The cubic root of 47620000 is about 362.4625407190.

Adding to 47620000 its reverse (2674), we get a palindrome (47622674).

The spelling of 47620000 in words is "forty-seven million, six hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2381 2500 4000 4762 5000 9524 10000 11905 19048 20000 23810 38096 47620 59525 76192 95240 119050 190480 238100 297625 380960 476200 595250 952400 1190500 1488125 1904800 2381000 2976250 4762000 5952500 9524000 11905000 23810000 47620000