Search a number
-
+
933012972 = 223317613829
BaseRepresentation
bin110111100111001…
…010010111101100
32102000121222012000
4313213022113230
53402322403342
6232325412300
732056323303
oct6747122754
92360558160
10933012972
11439730501
1222056a090
1311b3b4ba8
148bcb143a
1556d9d44c
hex379ca5ec

933012972 has 96 divisors (see below), whose sum is σ = 2568484800. Its totient is φ = 291879936.

The previous prime is 933012967. The next prime is 933012973. The reversal of 933012972 is 279210339.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (933012973) 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, 1125054 + ... + 1125882.

It is an arithmetic number, because the mean of its divisors is an integer number (26755050).

Almost surely, 2933012972 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 933012972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284242400).

933012972 is an abundant number, since it is smaller than the sum of its proper divisors (1635471828).

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

933012972 is a wasteful number, since it uses less digits than its factorization.

933012972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 933012972 is about 30545.2610399715. The cubic root of 933012972 is about 977.1529796032.

The spelling of 933012972 in words is "nine hundred thirty-three million, twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 613 829 918 1226 1658 1836 1839 2452 2487 3316 3678 4974 5517 7356 7461 9948 10421 11034 14093 14922 16551 20842 22068 22383 28186 29844 31263 33102 41684 42279 44766 56372 62526 66204 84558 89532 93789 125052 126837 169116 187578 253674 281367 375156 380511 507348 508177 562734 761022 1016354 1125468 1522044 1524531 2032708 3049062 4573593 6098124 8639009 9147186 13720779 17278018 18294372 25917027 27441558 34556036 51834054 54883116 77751081 103668108 155502162 233253243 311004324 466506486 933012972