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47770920 = 23325132697
BaseRepresentation
bin1011011000111…
…0110100101000
310022220000101100
42312032310220
544212132140
64423521400
71120021551
oct266166450
9108800340
1047770920
1124a68aaa
1213bb9260
139b87922
1464b7328
1542d9530
hex2d8ed28

47770920 has 48 divisors (see below), whose sum is σ = 155256660. Its totient is φ = 12738816.

The previous prime is 47770909. The next prime is 47770927. The reversal of 47770920 is 2907774.

47770920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39162564 + 8608356 = 6258^2 + 2934^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47770927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65989 + ... + 66708.

Almost surely, 247770920 is an apocalyptic number.

47770920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47770920 is an abundant number, since it is smaller than the sum of its proper divisors (107485740).

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

47770920 is a wasteful number, since it uses less digits than its factorization.

47770920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132714 (or 132707 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 47770920 is about 6911.6510328575. The cubic root of 47770920 is about 362.8450491823.

The spelling of 47770920 in words is "forty-seven million, seven hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 132697 265394 398091 530788 663485 796182 1061576 1194273 1326970 1592364 1990455 2388546 2653940 3184728 3980910 4777092 5307880 5971365 7961820 9554184 11942730 15923640 23885460 47770920