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47414000 = 2453151157
BaseRepresentation
bin1011010011011…
…1101011110000
310022012212210002
42310313223300
544114222000
64412125132
71114004144
oct264675360
9108185702
1047414000
1124844927
1213a667a8
139a9132a
146423224
1542688d5
hex2d37af0

47414000 has 80 divisors (see below), whose sum is σ = 116141376. Its totient is φ = 18720000.

The previous prime is 47413997. The next prime is 47414027. The reversal of 47414000 is 41474.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 301922 + ... + 302078.

Almost surely, 247414000 is an apocalyptic number.

47414000 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 47414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58070688).

47414000 is an abundant number, since it is smaller than the sum of its proper divisors (68727376).

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

47414000 is a wasteful number, since it uses less digits than its factorization.

47414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 47414000 is about 6885.7824537230. The cubic root of 47414000 is about 361.9391247106.

Adding to 47414000 its reverse (41474), we get a palindrome (47455474).

The spelling of 47414000 in words is "forty-seven million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 157 200 250 302 314 400 500 604 628 755 785 1000 1208 1256 1510 1570 2000 2416 2512 3020 3140 3775 3925 6040 6280 7550 7850 12080 12560 15100 15700 18875 19625 23707 30200 31400 37750 39250 47414 60400 62800 75500 78500 94828 118535 151000 157000 189656 237070 302000 314000 379312 474140 592675 948280 1185350 1896560 2370700 2963375 4741400 5926750 9482800 11853500 23707000 47414000