Search a number
-
+
47322240 = 273572503
BaseRepresentation
bin1011010010000…
…1010010000000
310022001012220120
42310201102000
544103302430
64410140240
71113142500
oct264412200
9108035816
1047322240
1124791999
1213a21680
139a5b634
1463dba00
15424b610
hex2d21480

47322240 has 192 divisors, whose sum is σ = 175815360. Its totient is φ = 10795008.

The previous prime is 47322221. The next prime is 47322259. The reversal of 47322240 is 4222374.

It is an interprime number because it is at equal distance from previous prime (47322221) and next prime (47322259).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 47322240.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93829 + ... + 94331.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 247322240 is an apocalyptic number.

47322240 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 47322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

47322240 is an abundant number, since it is smaller than the sum of its proper divisors (128493120).

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

47322240 is a wasteful number, since it uses less digits than its factorization.

47322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 47322240 is about 6879.1162223065. The cubic root of 47322240 is about 361.7054877972.

The spelling of 47322240 in words is "forty-seven million, three hundred twenty-two thousand, two hundred forty".