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80072748 = 22327615209
BaseRepresentation
bin1001100010111…
…01000000101100
312120200010011100
410301131000230
5130444311443
611540123100
71661415150
oct461350054
9176603140
1080072748
1141220928
1222996490
1313787532
14a8c5060
15706a3d3
hex4c5d02c

80072748 has 72 divisors (see below), whose sum is σ = 235158560. Its totient is φ = 22498560.

The previous prime is 80072743. The next prime is 80072753. The reversal of 80072748 is 84727008.

It is an interprime number because it is at equal distance from previous prime (80072743) and next prime (80072753).

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 (80072743) 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 23 ways as a sum of consecutive naturals, for example, 12768 + ... + 17976.

Almost surely, 280072748 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 80072748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117579280).

80072748 is an abundant number, since it is smaller than the sum of its proper divisors (155085812).

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

80072748 is a wasteful number, since it uses less digits than its factorization.

80072748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 80072748 is about 8948.3377227282. The cubic root of 80072748 is about 431.0175074490.

The spelling of 80072748 in words is "eighty million, seventy-two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 5124 5209 7686 10418 15372 15627 20836 31254 36463 46881 62508 72926 93762 109389 145852 187524 218778 317749 328167 437556 635498 656334 953247 1270996 1312668 1906494 2224243 2859741 3812988 4448486 5719482 6672729 8896972 11438964 13345458 20018187 26690916 40036374 80072748