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47313840 = 2435728163
BaseRepresentation
bin1011010001111…
…1001110110000
310022000210101110
42310133032300
544103020330
64410033320
71113106140
oct264371660
9108023343
1047313840
1124786652
1213a18840
139a57872
1463d8920
154248db0
hex2d1f3b0

47313840 has 80 divisors (see below), whose sum is σ = 167632128. Its totient is φ = 10814208.

The previous prime is 47313823. The next prime is 47313841. The reversal of 47313840 is 4831374.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 47313798 and 47313807.

It is not an unprimeable number, because it can be changed into a prime (47313841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12402 + ... + 15761.

Almost surely, 247313840 is an apocalyptic number.

47313840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47313840 is an abundant number, since it is smaller than the sum of its proper divisors (120318288).

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

47313840 is a wasteful number, since it uses less digits than its factorization.

47313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28186 (or 28180 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 47313840 is about 6878.5056516659. The cubic root of 47313840 is about 361.6840848523.

The spelling of 47313840 in words is "forty-seven million, three hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 28163 56326 84489 112652 140815 168978 197141 225304 281630 337956 394282 422445 450608 563260 591423 675912 788564 844890 985705 1126520 1182846 1351824 1577128 1689780 1971410 2253040 2365692 2957115 3154256 3379560 3942820 4731384 5914230 6759120 7885640 9462768 11828460 15771280 23656920 47313840