Search a number
-
+
47621920 = 255367811
BaseRepresentation
bin1011010110101…
…0011100100000
310022121102222211
42311222130200
544142400140
64420411504
71115531263
oct265523440
9108542884
1047621920
1124977065
1213b46b94
139b34b68
146478cda
1542aa2ea
hex2d6a720

47621920 has 48 divisors (see below), whose sum is σ = 112952448. Its totient is φ = 18973440.

The previous prime is 47621897. The next prime is 47621939. The reversal of 47621920 is 2912674.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58315 + ... + 59125.

It is an arithmetic number, because the mean of its divisors is an integer number (2353176).

Almost surely, 247621920 is an apocalyptic number.

47621920 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 47621920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56476224).

47621920 is an abundant number, since it is smaller than the sum of its proper divisors (65330528).

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

47621920 is a wasteful number, since it uses less digits than its factorization.

47621920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 47621920 is about 6900.8637140578. The cubic root of 47621920 is about 362.4674120527.

The spelling of 47621920 in words is "forty-seven million, six hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 367 734 811 1468 1622 1835 2936 3244 3670 4055 5872 6488 7340 8110 11744 12976 14680 16220 25952 29360 32440 58720 64880 129760 297637 595274 1190548 1488185 2381096 2976370 4762192 5952740 9524384 11905480 23810960 47621920