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71468904 = 233133741151
BaseRepresentation
bin1000100001010…
…00011101101000
311222110222220110
410100220131220
5121244001104
611031454320
71525322103
oct420503550
9158428813
1071468904
1137384711
121bb273a0
1311a642c0
1496c573a
15641ae89
hex4428768

71468904 has 128 divisors (see below), whose sum is σ = 203777280. Its totient is φ = 20736000.

The previous prime is 71468897. The next prime is 71468911. The reversal of 71468904 is 40986417.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71468897) and next prime (71468911).

It is a super-2 number, since 2×714689042 = 10215608477922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473229 + ... + 473379.

It is an arithmetic number, because the mean of its divisors is an integer number (1592010).

Almost surely, 271468904 is an apocalyptic number.

71468904 is a gapful number since it is divisible by the number (74) 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 71468904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101888640).

71468904 is an abundant number, since it is smaller than the sum of its proper divisors (132308376).

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

71468904 is a wasteful number, since it uses less digits than its factorization.

71468904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 71468904 is about 8453.9283176521. The cubic root of 71468904 is about 414.9913464107.

The spelling of 71468904 in words is "seventy-one million, four hundred sixty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 41 52 74 78 82 104 111 123 148 151 156 164 222 246 296 302 312 328 444 453 481 492 533 604 888 906 962 984 1066 1208 1443 1517 1599 1812 1924 1963 2132 2886 3034 3198 3624 3848 3926 4264 4551 5587 5772 5889 6068 6191 6396 7852 9102 11174 11544 11778 12136 12382 12792 15704 16761 18204 18573 19721 22348 23556 24764 33522 36408 37146 39442 44696 47112 49528 59163 67044 72631 74292 78884 80483 118326 134088 145262 148584 157768 160966 217893 229067 236652 241449 290524 321932 435786 458134 473304 482898 581048 643864 687201 871572 916268 965796 1374402 1743144 1832536 1931592 2748804 2977871 5497608 5955742 8933613 11911484 17867226 23822968 35734452 71468904