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81749248 = 287519
BaseRepresentation
bin1001101111101…
…10010100000000
312200211021212221
410313312110000
5131411433443
612040100424
72011600000
oct467662400
9180737787
1081749248
1142166469
1223464714
1313c23649
14ac00000
15729beed
hex4df6500

81749248 has 108 divisors (see below), whose sum is σ = 200393760. Its totient is φ = 33191424.

The previous prime is 81749197. The next prime is 81749249. The reversal of 81749248 is 84294718.

Its product of digits (129024) is a multiple of the sum of its prime divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81749249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4302583 + ... + 4302601.

Almost surely, 281749248 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 81749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100196880).

81749248 is an abundant number, since it is smaller than the sum of its proper divisors (118644512).

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

81749248 is an frugal number, since it uses more digits than its factorization.

81749248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 81749248 is about 9041.5290742219. The cubic root of 81749248 is about 434.0048559984.

The spelling of 81749248 in words is "eighty-one million, seven hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 343 392 448 532 608 686 784 896 931 1064 1216 1372 1568 1792 1862 2128 2401 2432 2744 3136 3724 4256 4802 4864 5488 6272 6517 7448 8512 9604 10976 12544 13034 14896 16807 17024 19208 21952 26068 29792 33614 34048 38416 43904 45619 52136 59584 67228 76832 87808 91238 104272 119168 134456 153664 182476 208544 238336 268912 307328 319333 364952 417088 537824 614656 638666 729904 834176 1075648 1277332 1459808 1668352 2151296 2554664 2919616 4302592 5109328 5839232 10218656 11678464 20437312 40874624 81749248