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47909940 = 223513239257
BaseRepresentation
bin1011011011000…
…0110000110100
310100011002002020
42312300300310
544231104230
64430513140
71121141061
oct266606064
9110132066
1047909940
11250534a1
12140657b0
139c05ca0
146511c68
154315810
hex2db0c34

47909940 has 96 divisors (see below), whose sum is σ = 145635840. Its totient is φ = 11698176.

The previous prime is 47909929. The next prime is 47909977. The reversal of 47909940 is 4990974.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47909892 and 47909901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186292 + ... + 186548.

It is an arithmetic number, because the mean of its divisors is an integer number (1517040).

Almost surely, 247909940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47909940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72817920).

47909940 is an abundant number, since it is smaller than the sum of its proper divisors (97725900).

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

47909940 is a wasteful number, since it uses less digits than its factorization.

47909940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 47909940 is about 6921.7006580753. The cubic root of 47909940 is about 363.1966847654.

The spelling of 47909940 in words is "forty-seven million, nine hundred nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 239 257 260 390 478 514 717 771 780 956 1028 1195 1285 1434 1542 2390 2570 2868 3084 3107 3341 3585 3855 4780 5140 6214 6682 7170 7710 9321 10023 12428 13364 14340 15420 15535 16705 18642 20046 31070 33410 37284 40092 46605 50115 61423 62140 66820 93210 100230 122846 184269 186420 200460 245692 307115 368538 614230 737076 798499 921345 1228460 1596998 1842690 2395497 3193996 3685380 3992495 4790994 7984990 9581988 11977485 15969980 23954970 47909940