Search a number
-
+
70201248 = 2531324327
BaseRepresentation
bin1000010111100…
…10111110100000
311220002121000020
410023302332200
5120432414443
610544353440
71511462235
oct413627640
9156077006
1070201248
1136699267
121b615880
131170c300
14947578c
15626a583
hex42f2fa0

70201248 has 72 divisors (see below), whose sum is σ = 199590048. Its totient is φ = 21595392.

The previous prime is 70201189. The next prime is 70201277. The reversal of 70201248 is 84210207.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14061 + ... + 18387.

It is an arithmetic number, because the mean of its divisors is an integer number (2772084).

Almost surely, 270201248 is an apocalyptic number.

70201248 is a gapful number since it is divisible by the number (78) 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 70201248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99795024).

70201248 is an abundant number, since it is smaller than the sum of its proper divisors (129388800).

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

70201248 is a wasteful number, since it uses less digits than its factorization.

70201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 70201248 is about 8378.6185018773. The cubic root of 70201248 is about 412.5231046746.

The spelling of 70201248 in words is "seventy million, two hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 4327 5408 8112 8654 12981 16224 17308 25962 34616 51924 56251 69232 103848 112502 138464 168753 207696 225004 337506 415392 450008 675012 731263 900016 1350024 1462526 1800032 2193789 2700048 2925052 4387578 5400096 5850104 8775156 11700208 17550312 23400416 35100624 70201248