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47728440 = 2334514731
BaseRepresentation
bin1011011000010…
…0011100111000
310022210212010000
42312010130320
544204302230
64422553000
71116453654
oct266043470
9108725100
1047728440
1124a3a0a1
1213b98760
139b714a6
1464a5a64
1542cbb60
hex2d84738

47728440 has 80 divisors (see below), whose sum is σ = 160431480. Its totient is φ = 12726720.

The previous prime is 47728397. The next prime is 47728441. The reversal of 47728440 is 4482774.

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

It is a junction number, because it is equal to n+sod(n) for n = 47728395 and 47728404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47728441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4126 + ... + 10605.

Almost surely, 247728440 is an apocalyptic number.

47728440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47728440 is an abundant number, since it is smaller than the sum of its proper divisors (112703040).

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

47728440 is a wasteful number, since it uses less digits than its factorization.

47728440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14754 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 47728440 is about 6908.5772775587. The cubic root of 47728440 is about 362.7374647021.

The spelling of 47728440 in words is "forty-seven million, seven hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 14731 29462 44193 58924 73655 88386 117848 132579 147310 176772 220965 265158 294620 353544 397737 441930 530316 589240 662895 795474 883860 1060632 1193211 1325790 1590948 1767720 1988685 2386422 2651580 3181896 3977370 4772844 5303160 5966055 7954740 9545688 11932110 15909480 23864220 47728440