Search a number
-
+
89432772 = 2231113219211
BaseRepresentation
bin1010101010010…
…10001011000100
320020021122200220
411111022023010
5140343322042
612512504340
72134110642
oct525121304
9206248626
1089432772
1146534190
1225b4b0b0
13156b3a00
14bc40192
157cb88ec
hex554a2c4

89432772 has 144 divisors (see below), whose sum is σ = 260709120. Its totient is φ = 23587200.

The previous prime is 89432747. The next prime is 89432797. The reversal of 89432772 is 27723498.

It is an interprime number because it is at equal distance from previous prime (89432747) and next prime (89432797).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 423747 + ... + 423957.

It is an arithmetic number, because the mean of its divisors is an integer number (1810480).

Almost surely, 289432772 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 89432772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130354560).

89432772 is an abundant number, since it is smaller than the sum of its proper divisors (171276348).

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

89432772 is a wasteful number, since it uses less digits than its factorization.

89432772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 89432772 is about 9456.8901865254. The cubic root of 89432772 is about 447.1970163854.

The spelling of 89432772 in words is "eighty-nine million, four hundred thirty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 132 143 156 169 209 211 228 247 286 338 418 422 429 494 507 572 627 633 676 741 836 844 858 988 1014 1254 1266 1482 1716 1859 2028 2321 2508 2532 2717 2743 2964 3211 3718 4009 4642 5434 5486 5577 6422 6963 7436 8018 8151 8229 9284 9633 10868 10972 11154 12027 12844 13926 16036 16302 16458 19266 22308 24054 27852 30173 32604 32916 35321 35659 38532 44099 48108 52117 60346 70642 71318 88198 90519 104234 105963 106977 120692 132297 141284 142636 156351 176396 181038 208468 211926 213954 264594 312702 362076 392249 423852 427908 529188 573287 625404 677521 784498 1146574 1176747 1355042 1568996 1719861 2032563 2293148 2353494 2710084 3439722 4065126 4706988 6879444 7452731 8130252 14905462 22358193 29810924 44716386 89432772