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80028432 = 24331121531
BaseRepresentation
bin1001100010100…
…10001100010000
312120120212101000
410301102030100
5130441402212
611535142000
71661142021
oct461221420
9176525330
1080028432
11411a0600
1222974900
1313770303
14a8b2c48
15705c1dc
hex4c52310

80028432 has 120 divisors (see below), whose sum is σ = 252657440. Its totient is φ = 24235200.

The previous prime is 80028409. The next prime is 80028467. The reversal of 80028432 is 23482008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 80028396 and 80028405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51507 + ... + 53037.

Almost surely, 280028432 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 80028432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126328720).

80028432 is an abundant number, since it is smaller than the sum of its proper divisors (172629008).

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

80028432 is a wasteful number, since it uses less digits than its factorization.

80028432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 80028432 is about 8945.8611659247. The cubic root of 80028432 is about 430.9379776996.

The spelling of 80028432 in words is "eighty million, twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1531 1584 1936 2178 2376 2904 3062 3267 4356 4593 4752 5808 6124 6534 8712 9186 12248 13068 13779 16841 17424 18372 24496 26136 27558 33682 36744 41337 50523 52272 55116 67364 73488 82674 101046 110232 134728 151569 165348 185251 202092 220464 269456 303138 330696 370502 404184 454707 555753 606276 661392 741004 808368 909414 1111506 1212552 1482008 1667259 1818828 2223012 2425104 2964016 3334518 3637656 4446024 5001777 6669036 7275312 8892048 10003554 13338072 20007108 26676144 40014216 80028432