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47142540 = 22335671303
BaseRepresentation
bin1011001111010…
…1011010001100
310021201002102000
42303311122030
544032030130
64402232300
71111463544
oct263653214
9107632360
1047142540
1124679985
1213955690
1399c78c3
146392324
154213260
hex2cf568c

47142540 has 96 divisors (see below), whose sum is σ = 148968960. Its totient is φ = 12374208.

The previous prime is 47142533. The next prime is 47142541. The reversal of 47142540 is 4524174.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47142541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35529 + ... + 36831.

It is an arithmetic number, because the mean of its divisors is an integer number (1551760).

Almost surely, 247142540 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 47142540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74484480).

47142540 is an abundant number, since it is smaller than the sum of its proper divisors (101826420).

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

47142540 is a wasteful number, since it uses less digits than its factorization.

47142540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 47142540 is about 6866.0425282691. The cubic root of 47142540 is about 361.2470639880.

The spelling of 47142540 in words is "forty-seven million, one hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1303 1340 1809 2010 2412 2606 3015 3618 3909 4020 5212 6030 6515 7236 7818 9045 11727 12060 13030 15636 18090 19545 23454 26060 35181 36180 39090 46908 58635 70362 78180 87301 117270 140724 174602 175905 234540 261903 349204 351810 436505 523806 703620 785709 873010 1047612 1309515 1571418 1746020 2357127 2619030 3142836 3928545 4714254 5238060 7857090 9428508 11785635 15714180 23571270 47142540