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47054436 = 2231113171613
BaseRepresentation
bin1011001101111…
…1111001100100
310021112121112220
42303133321210
544021220221
64400312340
71110645642
oct263377144
9107477486
1047054436
1124619770
12139126b0
139996780
14636c192
1541e70c6
hex2cdfe64

47054436 has 96 divisors (see below), whose sum is σ = 136660608. Its totient is φ = 12380160.

The previous prime is 47054411. The next prime is 47054437. The reversal of 47054436 is 63445074.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 47054397 and 47054406.

It is not an unprimeable number, because it can be changed into a prime (47054437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28366 + ... + 29978.

It is an arithmetic number, because the mean of its divisors is an integer number (1423548).

Almost surely, 247054436 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 47054436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68330304).

47054436 is an abundant number, since it is smaller than the sum of its proper divisors (89606172).

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

47054436 is a wasteful number, since it uses less digits than its factorization.

47054436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 47054436 is about 6859.6236048343. The cubic root of 47054436 is about 361.0218805398.

The spelling of 47054436 in words is "forty-seven million, fifty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 442 561 572 663 748 858 884 1122 1326 1613 1716 2244 2431 2652 3226 4839 4862 6452 7293 9678 9724 14586 17743 19356 20969 27421 29172 35486 41938 53229 54842 62907 70972 82263 83876 106458 109684 125814 164526 212916 230659 251628 301631 329052 356473 461318 603262 691977 712946 904893 922636 1069419 1206524 1383954 1425892 1809786 2138838 2767908 3619572 3921203 4277676 7842406 11763609 15684812 23527218 47054436