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47679480 = 23325294567
BaseRepresentation
bin1011010111100…
…0011111111000
310022201100221200
42311320133320
544201220410
64421534200
71116161142
oct265703770
9108640850
1047679480
1124a06332
1213b74360
139b55114
146491c92
1542bc3c0
hex2d787f8

47679480 has 96 divisors (see below), whose sum is σ = 160336800. Its totient is φ = 12273408.

The previous prime is 47679473. The next prime is 47679551. The reversal of 47679480 is 8497674.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8157 + ... + 12723.

It is an arithmetic number, because the mean of its divisors is an integer number (1670175).

Almost surely, 247679480 is an apocalyptic number.

47679480 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 47679480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80168400).

47679480 is an abundant number, since it is smaller than the sum of its proper divisors (112657320).

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

47679480 is a wasteful number, since it uses less digits than its factorization.

47679480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 47679480 is about 6905.0329470612. The cubic root of 47679480 is about 362.6133898154.

The spelling of 47679480 in words is "forty-seven million, six hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 4567 5220 9134 10440 13701 18268 22835 27402 36536 41103 45670 54804 68505 82206 91340 109608 132443 137010 164412 182680 205515 264886 274020 328824 397329 411030 529772 548040 662215 794658 822060 1059544 1191987 1324430 1589316 1644120 1986645 2383974 2648860 3178632 3973290 4767948 5297720 5959935 7946580 9535896 11919870 15893160 23839740 47679480