Search a number
-
+
296992872 = 233311239523
BaseRepresentation
bin10001101100111…
…100000001101000
3202200211210122000
4101230330001220
51102012232442
645245331000
710234253301
oct2154740150
9680753560
10296992872
11142710160
1283566a60
13496b7137
142b62d7a8
151b117d4c
hex11b3c068

296992872 has 128 divisors (see below), whose sum is σ = 905472000. Its totient is φ = 89449920.

The previous prime is 296992849. The next prime is 296992877. The reversal of 296992872 is 278299692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296992877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567603 + ... + 568125.

It is an arithmetic number, because the mean of its divisors is an integer number (7074000).

Almost surely, 2296992872 is an apocalyptic number.

296992872 is a gapful number since it is divisible by the number (22) 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 296992872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452736000).

296992872 is an abundant number, since it is smaller than the sum of its proper divisors (608479128).

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

296992872 is a wasteful number, since it uses less digits than its factorization.

296992872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 296992872 is about 17233.4811341180. The cubic root of 296992872 is about 667.1886895759.

The spelling of 296992872 in words is "two hundred ninety-six million, nine hundred ninety-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 239 264 297 396 478 523 594 717 792 956 1046 1188 1434 1569 1912 2092 2151 2376 2629 2868 3138 4184 4302 4707 5258 5736 5753 6276 6453 7887 8604 9414 10516 11506 12552 12906 14121 15774 17208 17259 18828 21032 23012 23661 25812 28242 31548 34518 37656 46024 47322 51624 51777 56484 63096 69036 70983 94644 103554 112968 124997 138072 141966 155331 189288 207108 249994 283932 310662 374991 414216 499988 567864 621324 749982 999976 1124973 1242648 1374967 1499964 2249946 2749934 2999928 3374919 4124901 4499892 5499868 6749838 8249802 8999784 10999736 12374703 13499676 16499604 24749406 26999352 32999208 37124109 49498812 74248218 98997624 148496436 296992872