Search a number
-
+
69850272 = 25347113137
BaseRepresentation
bin1000010100111…
…01010010100000
311212102202120010
410022131102200
5120340202042
610533044520
71505501052
oct412352240
9155382503
1069850272
11364795a8
121b486740
131161862b
1493c38d2
1561eb59c
hex429d4a0

69850272 has 96 divisors (see below), whose sum is σ = 190294272. Its totient is φ = 22421504.

The previous prime is 69850243. The next prime is 69850273. The reversal of 69850272 is 27205896.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 69850272.

It is not an unprimeable number, because it can be changed into a prime (69850273) 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, 509788 + ... + 509924.

It is an arithmetic number, because the mean of its divisors is an integer number (1982232).

Almost surely, 269850272 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 69850272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95147136).

69850272 is an abundant number, since it is smaller than the sum of its proper divisors (120444000).

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

69850272 is a wasteful number, since it uses less digits than its factorization.

69850272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 69850272 is about 8357.6475158982. The cubic root of 69850272 is about 411.8344765069.

The spelling of 69850272 in words is "sixty-nine million, eight hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 113 137 141 188 226 274 282 339 376 411 452 548 564 678 752 822 904 1096 1128 1356 1504 1644 1808 2192 2256 2712 3288 3616 4384 4512 5311 5424 6439 6576 10622 10848 12878 13152 15481 15933 19317 21244 25756 30962 31866 38634 42488 46443 51512 61924 63732 77268 84976 92886 103024 123848 127464 154536 169952 185772 206048 247696 254928 309072 371544 495392 509856 618144 727607 743088 1455214 1486176 2182821 2910428 4365642 5820856 8731284 11641712 17462568 23283424 34925136 69850272