Search a number
-
+
47296200 = 23352711261
BaseRepresentation
bin1011010001101…
…0111011001000
310021222220012010
42310122323020
544101434300
64405415520
71113003540
oct264327310
9107886163
1047296200
1124774376
1213a0a5a0
139a4c823
1463d2320
154243a50
hex2d1aec8

47296200 has 96 divisors (see below), whose sum is σ = 167578560. Its totient is φ = 10809600.

The previous prime is 47296199. The next prime is 47296201. The reversal of 47296200 is 269274.

It is a happy number.

47296200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47296199) and next prime (47296201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47296201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1431 + ... + 9830.

It is an arithmetic number, because the mean of its divisors is an integer number (1745610).

Almost surely, 247296200 is an apocalyptic number.

47296200 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 47296200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83789280).

47296200 is an abundant number, since it is smaller than the sum of its proper divisors (120282360).

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

47296200 is a wasteful number, since it uses less digits than its factorization.

47296200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11287 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 47296200 is about 6877.2232768756. The cubic root of 47296200 is about 361.6391304209.

The spelling of 47296200 in words is "forty-seven million, two hundred ninety-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 11261 22522 33783 45044 56305 67566 78827 90088 112610 135132 157654 168915 225220 236481 270264 281525 315308 337830 394135 450440 472962 563050 630616 675660 788270 844575 945924 1126100 1182405 1351320 1576540 1689150 1891848 1970675 2252200 2364810 3153080 3378300 3941350 4729620 5912025 6756600 7882700 9459240 11824050 15765400 23648100 47296200