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81778872 = 23374710357
BaseRepresentation
bin1001101111111…
…01100010111000
312200212210112010
410313331202320
5131413410442
612040445520
72012052240
oct467754270
9180783463
1081778872
114218674a
12234798a0
1313c33c86
14ac0ab20
1572a5b9c
hex4dfd8b8

81778872 has 64 divisors (see below), whose sum is σ = 238648320. Its totient is φ = 22866048.

The previous prime is 81778871. The next prime is 81778883. The reversal of 81778872 is 27887718.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81778871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718 + ... + 13074.

It is an arithmetic number, because the mean of its divisors is an integer number (3728880).

Almost surely, 281778872 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 81778872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119324160).

81778872 is an abundant number, since it is smaller than the sum of its proper divisors (156869448).

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

81778872 is a wasteful number, since it uses less digits than its factorization.

81778872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420 (or 10416 counting only the distinct ones).

The product of its digits is 351232, while the sum is 48.

The square root of 81778872 is about 9043.1671443140. The cubic root of 81778872 is about 434.0572740428.

The spelling of 81778872 in words is "eighty-one million, seven hundred seventy-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7896 10357 20714 31071 41428 62142 72499 82856 124284 144998 217497 248568 289996 434994 486779 579992 869988 973558 1460337 1739976 1947116 2920674 3407453 3894232 5841348 6814906 10222359 11682696 13629812 20444718 27259624 40889436 81778872