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47279040 = 2635172897
BaseRepresentation
bin1011010001011…
…0101111000000
310021222000122120
42310112233000
544100412130
64405204240
71112602524
oct264265700
9107860576
1047279040
1124762496
1213a00680
139a44a83
1463c9d84
15423d910
hex2d16bc0

47279040 has 112 divisors (see below), whose sum is σ = 158995872. Its totient is φ = 11862016.

The previous prime is 47279033. The next prime is 47279083. The reversal of 47279040 is 4097274.

It is a junction number, because it is equal to n+sod(n) for n = 47278992 and 47279010.

It is a congruent number.

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, 14872 + ... + 17768.

It is an arithmetic number, because the mean of its divisors is an integer number (1419606).

Almost surely, 247279040 is an apocalyptic number.

47279040 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 47279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79497936).

47279040 is an abundant number, since it is smaller than the sum of its proper divisors (111716832).

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

47279040 is a wasteful number, since it uses less digits than its factorization.

47279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 47279040 is about 6875.9755671468. The cubic root of 47279040 is about 361.5953885125.

The spelling of 47279040 in words is "forty-seven million, two hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 2897 3264 4080 5440 5794 8160 8691 11588 14485 16320 17382 23176 28970 34764 43455 46352 49249 57940 69528 86910 92704 98498 115880 139056 147747 173820 185408 196996 231760 246245 278112 295494 347640 393992 463520 492490 556224 590988 695280 738735 787984 927040 984980 1181976 1390560 1477470 1575968 1969960 2363952 2781120 2954940 3151936 3939920 4727904 5909880 7879840 9455808 11819760 15759680 23639520 47279040