[go: up one dir, main page]

Search a number
-
+
47384880 = 24351791103
BaseRepresentation
bin1011010011000…
…0100100110000
310022011101211120
42310300210300
544112304010
64411342240
71113523224
oct264604460
9108141746
1047384880
1124824a64
1213a51980
139a80cba
146416784
15425ee70
hex2d30930

47384880 has 80 divisors (see below), whose sum is σ = 147847680. Its totient is φ = 12553984.

The previous prime is 47384867. The next prime is 47384891. The reversal of 47384880 is 8848374.

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

It is a super-2 number, since 2×473848802 = 4490653705228800, which contains 22 as substring.

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, 42409 + ... + 43511.

It is an arithmetic number, because the mean of its divisors is an integer number (1848096).

Almost surely, 247384880 is an apocalyptic number.

47384880 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 47384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73923840).

47384880 is an abundant number, since it is smaller than the sum of its proper divisors (100462800).

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

47384880 is a wasteful number, since it uses less digits than its factorization.

47384880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 47384880 is about 6883.6676270721. The cubic root of 47384880 is about 361.8650128045.

The spelling of 47384880 in words is "forty-seven million, three hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 358 537 716 895 1074 1103 1432 1790 2148 2206 2685 2864 3309 3580 4296 4412 5370 5515 6618 7160 8592 8824 10740 11030 13236 14320 16545 17648 21480 22060 26472 33090 42960 44120 52944 66180 88240 132360 197437 264720 394874 592311 789748 987185 1184622 1579496 1974370 2369244 2961555 3158992 3948740 4738488 5923110 7897480 9476976 11846220 15794960 23692440 47384880