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47681040 = 24351118061
BaseRepresentation
bin1011010111100…
…0111000010000
310022201110002110
42311320320100
544201243130
64421545320
71116165531
oct265707020
9108643073
1047681040
1124a07520
1213b75240
139b55a44
146492688
1542bcab0
hex2d78e10

47681040 has 80 divisors (see below), whose sum is σ = 161257536. Its totient is φ = 11558400.

The previous prime is 47681021. The next prime is 47681059. The reversal of 47681040 is 4018674.

It is an interprime number because it is at equal distance from previous prime (47681021) and next prime (47681059).

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 = 47680989 and 47681007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6391 + ... + 11670.

Almost surely, 247681040 is an apocalyptic number.

47681040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47681040 is an abundant number, since it is smaller than the sum of its proper divisors (113576496).

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

47681040 is a wasteful number, since it uses less digits than its factorization.

47681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18088 (or 18082 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 47681040 is about 6905.1459072202. The cubic root of 47681040 is about 362.6173444916.

The spelling of 47681040 in words is "forty-seven million, six hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 18061 36122 54183 72244 90305 108366 144488 180610 198671 216732 270915 288976 361220 397342 433464 541830 596013 722440 794684 866928 993355 1083660 1192026 1444880 1589368 1986710 2167320 2384052 2980065 3178736 3973420 4334640 4768104 5960130 7946840 9536208 11920260 15893680 23840520 47681040