Search a number
-
+
47101428 = 2232113983
BaseRepresentation
bin1011001110101…
…1010111110100
310021122000000100
42303223113310
544024221203
64401314100
71111232643
oct263532764
9107560010
1047101428
1124651000
1213935930
1399b1c8a
14638135a
154205ea3
hex2ceb5f4

47101428 has 72 divisors (see below), whose sum is σ = 131092416. Its totient is φ = 14258640.

The previous prime is 47101427. The next prime is 47101463. The reversal of 47101428 is 82410174.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47101427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47425 + ... + 48407.

It is an arithmetic number, because the mean of its divisors is an integer number (1820728).

Almost surely, 247101428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47101428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65546208).

47101428 is an abundant number, since it is smaller than the sum of its proper divisors (83990988).

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

47101428 is a wasteful number, since it uses less digits than its factorization.

47101428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 47101428 is about 6863.0480109059. The cubic root of 47101428 is about 361.1420215031.

It can be divided in two parts, 47 and 101428, that added together give a triangular number (101475 = T450).

The spelling of 47101428 in words is "forty-seven million, one hundred one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 983 1089 1331 1452 1966 2178 2662 2949 3932 3993 4356 5324 5898 7986 8847 10813 11796 11979 15972 17694 21626 23958 32439 35388 43252 47916 64878 97317 118943 129756 194634 237886 356829 389268 475772 713658 1070487 1308373 1427316 2140974 2616746 3925119 4281948 5233492 7850238 11775357 15700476 23550714 47101428