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47969440 = 2551731733
BaseRepresentation
bin1011011011111…
…1010010100000
310100021002200221
42312333102200
544240010230
64432052424
71121506411
oct266772240
9110232627
1047969440
1125094172
1214094114
139c270ac
146529808
15432827a
hex2dbf4a0

47969440 has 48 divisors (see below), whose sum is σ = 114048648. Its totient is φ = 19065856.

The previous prime is 47969437. The next prime is 47969443. The reversal of 47969440 is 4496974.

It is an interprime number because it is at equal distance from previous prime (47969437) and next prime (47969443).

It can be written as a sum of positive squares in 4 ways, for example, as 44997264 + 2972176 = 6708^2 + 1724^2 .

It is not an unprimeable number, because it can be changed into a prime (47969443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26814 + ... + 28546.

Almost surely, 247969440 is an apocalyptic number.

47969440 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 47969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57024324).

47969440 is an abundant number, since it is smaller than the sum of its proper divisors (66079208).

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

47969440 is a wasteful number, since it uses less digits than its factorization.

47969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 47969440 is about 6925.9974010968. The cubic root of 47969440 is about 363.3469755186.

The spelling of 47969440 in words is "forty-seven million, nine hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 1384 1730 1733 2768 3460 3466 5536 6920 6932 8665 13840 13864 17330 27680 27728 34660 55456 69320 138640 277280 299809 599618 1199236 1499045 2398472 2998090 4796944 5996180 9593888 11992360 23984720 47969440