Search a number
-
+
92844416 = 2772113131
BaseRepresentation
bin1011000100010…
…11000110000000
320110200222121002
411202023012000
5142232010131
613113551132
72205110300
oct542130600
9213628532
1092844416
1148454425
12271154a8
1316309832
14c48b600
15823e6cb
hex588b180

92844416 has 96 divisors (see below), whose sum is σ = 218722680. Its totient is φ = 39137280.

The previous prime is 92844413. The next prime is 92844419. The reversal of 92844416 is 61444829.

It is an interprime number because it is at equal distance from previous prime (92844413) and next prime (92844419).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 92844416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92844413) 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, 708671 + ... + 708801.

Almost surely, 292844416 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 92844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109361340).

92844416 is an abundant number, since it is smaller than the sum of its proper divisors (125878264).

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

92844416 is a wasteful number, since it uses less digits than its factorization.

92844416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 92844416 is about 9635.5807297744. The cubic root of 92844416 is about 452.8126971846.

The spelling of 92844416 in words is "ninety-two million, eight hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 128 131 196 224 226 262 392 448 452 524 784 791 896 904 917 1048 1568 1582 1808 1834 2096 3136 3164 3616 3668 4192 5537 6272 6328 6419 7232 7336 8384 11074 12656 12838 14464 14672 14803 16768 22148 25312 25676 29344 29606 44296 50624 51352 58688 59212 88592 101248 102704 103621 117376 118424 177184 205408 207242 236848 354368 410816 414484 473696 708736 725347 821632 828968 947392 1450694 1657936 1894784 2901388 3315872 5802776 6631744 11605552 13263488 23211104 46422208 92844416