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81046296 = 233223109449
BaseRepresentation
bin1001101010010…
…10101100011000
312122111120121200
410311022230120
5131221440141
612013034200
72002611402
oct465125430
9178446550
1081046296
1141826311
1223185960
1313a386b6
14aa99b72
1571adab6
hex4d4ab18

81046296 has 96 divisors (see below), whose sum is σ = 231660000. Its totient is φ = 25546752.

The previous prime is 81046291. The next prime is 81046333. The reversal of 81046296 is 69264018.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81046296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81046291) 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, 180280 + ... + 180728.

It is an arithmetic number, because the mean of its divisors is an integer number (2413125).

Almost surely, 281046296 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 81046296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115830000).

81046296 is an abundant number, since it is smaller than the sum of its proper divisors (150613704).

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

81046296 is a wasteful number, since it uses less digits than its factorization.

81046296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 81046296 is about 9002.5716325948. The cubic root of 81046296 is about 432.7572879677.

It can be divided in two parts, 8104 and 6296, that added together give a square (14400 = 1202).

The spelling of 81046296 in words is "eighty-one million, forty-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 109 138 184 207 218 276 327 414 436 449 552 654 828 872 898 981 1308 1347 1656 1796 1962 2507 2616 2694 3592 3924 4041 5014 5388 7521 7848 8082 10028 10327 10776 15042 16164 20056 20654 22563 30084 30981 32328 41308 45126 48941 60168 61962 82616 90252 92943 97882 123924 146823 180504 185886 195764 247848 293646 371772 391528 440469 587292 743544 880938 1125643 1174584 1761876 2251286 3376929 3523752 4502572 6753858 9005144 10130787 13507716 20261574 27015432 40523148 81046296