Search a number
-
+
69892992 = 2732132359
BaseRepresentation
bin1000010101001…
…11101110000000
311212111221011100
410022213232000
5120343033432
610534014400
71506036441
oct412475600
9155457140
1069892992
11364a8704
121b4a7400
1311631c00
1493d52c8
15620907c
hex42a7b80

69892992 has 144 divisors (see below), whose sum is σ = 218392200. Its totient is φ = 21445632.

The previous prime is 69892957. The next prime is 69892997. The reversal of 69892992 is 29929896.

It is a tau number, because it is divible by the number of its divisors (144).

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 (69892997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194509 + ... + 194867.

Almost surely, 269892992 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 69892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109196100).

69892992 is an abundant number, since it is smaller than the sum of its proper divisors (148499208).

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

69892992 is a wasteful number, since it uses less digits than its factorization.

69892992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 377 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 69892992 is about 8360.2028683519. The cubic root of 69892992 is about 411.9184178806.

The spelling of 69892992 in words is "sixty-nine million, eight hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 288 312 338 359 384 416 468 507 576 624 676 718 832 936 1014 1077 1152 1248 1352 1436 1521 1664 1872 2028 2154 2496 2704 2872 3042 3231 3744 4056 4308 4667 4992 5408 5744 6084 6462 7488 8112 8616 9334 10816 11488 12168 12924 14001 14976 16224 17232 18668 21632 22976 24336 25848 28002 32448 34464 37336 42003 45952 48672 51696 56004 60671 64896 68928 74672 84006 97344 103392 112008 121342 137856 149344 168012 182013 194688 206784 224016 242684 298688 336024 364026 413568 448032 485368 546039 597376 672048 728052 896064 970736 1092078 1344096 1456104 1792128 1941472 2184156 2688192 2912208 3882944 4368312 5376384 5824416 7765888 8736624 11648832 17473248 23297664 34946496 69892992