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80628400 = 2452191032
BaseRepresentation
bin1001100111001…
…00101010110000
312121201100101001
410303210222300
5131120102100
612000051344
71666221136
oct463445260
9177640331
1080628400
1141570346
1223003b54
1313920418
14a9cb756
157129d6a
hex4ce4ab0

80628400 has 90 divisors (see below), whose sum is σ = 205903860. Its totient is φ = 30257280.

The previous prime is 80628391. The next prime is 80628407. The reversal of 80628400 is 482608.

It is not an unprimeable number, because it can be changed into a prime (80628407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 782749 + ... + 782851.

Almost surely, 280628400 is an apocalyptic number.

80628400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102951930).

80628400 is an abundant number, since it is smaller than the sum of its proper divisors (125275460).

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

80628400 is a wasteful number, since it uses less digits than its factorization.

80628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 80628400 is about 8979.3318236938. The cubic root of 80628400 is about 432.0122024445.

The spelling of 80628400 in words is "eighty million, six hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 103 152 190 200 206 304 380 400 412 475 515 760 824 950 1030 1520 1648 1900 1957 2060 2575 3800 3914 4120 5150 7600 7828 8240 9785 10300 10609 15656 19570 20600 21218 31312 39140 41200 42436 48925 53045 78280 84872 97850 106090 156560 169744 195700 201571 212180 265225 391400 403142 424360 530450 782800 806284 848720 1007855 1060900 1612568 2015710 2121800 3225136 4031420 4243600 5039275 8062840 10078550 16125680 20157100 40314200 80628400