Search a number
-
+
70474272 = 2531126067
BaseRepresentation
bin1000011001101…
…01101000100000
311220121110112020
410030311220200
5121020134042
610554301440
71514010231
oct414655040
9156543466
1070474272
1136865400
121b727880
13117a666b
149507088
1562c13ec
hex4335a20

70474272 has 72 divisors (see below), whose sum is σ = 203375088. Its totient is φ = 21352320.

The previous prime is 70474237. The next prime is 70474279. The reversal of 70474272 is 27247407.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (70474279) 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, 8583 + ... + 14649.

It is an arithmetic number, because the mean of its divisors is an integer number (2824654).

Almost surely, 270474272 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 70474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101687544).

70474272 is an abundant number, since it is smaller than the sum of its proper divisors (132900816).

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

70474272 is a wasteful number, since it uses less digits than its factorization.

70474272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 70474272 is about 8394.8955919654. The cubic root of 70474272 is about 413.0572025508.

The spelling of 70474272 in words is "seventy million, four hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 6067 11616 12134 18201 24268 36402 48536 66737 72804 97072 133474 145608 194144 200211 266948 291216 400422 533896 582432 734107 800844 1067792 1468214 1601688 2135584 2202321 2936428 3203376 4404642 5872856 6406752 8809284 11745712 17618568 23491424 35237136 70474272