Search a number
-
+
80421432 = 233713231601
BaseRepresentation
bin1001100101100…
…10001000111000
312121022211110120
410302302020320
5131041441212
611551413240
71664366550
oct462621070
9177284416
1080421432
11414398a3
1222b24220
131387a160
14a976160
1570d888c
hex4cb2238

80421432 has 128 divisors (see below), whose sum is σ = 258370560. Its totient is φ = 20275200.

The previous prime is 80421431. The next prime is 80421443. The reversal of 80421432 is 23412408.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80421431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49432 + ... + 51032.

It is an arithmetic number, because the mean of its divisors is an integer number (2018520).

Almost surely, 280421432 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 80421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129185280).

80421432 is an abundant number, since it is smaller than the sum of its proper divisors (177949128).

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

80421432 is a wasteful number, since it uses less digits than its factorization.

80421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 80421432 is about 8967.7997301456. The cubic root of 80421432 is about 431.6422363764.

The spelling of 80421432 in words is "eighty million, four hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 23 24 26 28 39 42 46 52 56 69 78 84 91 92 104 138 156 161 168 182 184 273 276 299 312 322 364 483 546 552 598 644 728 897 966 1092 1196 1288 1601 1794 1932 2093 2184 2392 3202 3588 3864 4186 4803 6279 6404 7176 8372 9606 11207 12558 12808 16744 19212 20813 22414 25116 33621 36823 38424 41626 44828 50232 62439 67242 73646 83252 89656 110469 124878 134484 145691 147292 166504 220938 249756 257761 268968 291382 294584 437073 441876 478699 499512 515522 582764 773283 874146 883752 957398 1031044 1165528 1436097 1546566 1748292 1914796 2062088 2872194 3093132 3350893 3496584 3829592 5744388 6186264 6701786 10052679 11488776 13403572 20105358 26807144 40210716 80421432