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80263872 = 263513397
BaseRepresentation
bin1001100100010…
…11101011000000
312121000211100000
410302023223000
5131021420442
611544200000
71663142313
oct462135300
9177024300
1080263872
1141341487
1222a69000
1313823520
14a93497a
1570a6d4c
hex4c8bac0

80263872 has 168 divisors, whose sum is σ = 257582416. Its totient is φ = 24634368.

The previous prime is 80263871. The next prime is 80263877. The reversal of 80263872 is 27836208.

It is a happy number.

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 (80263871) 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, 201978 + ... + 202374.

Almost surely, 280263872 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 80263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128791208).

80263872 is an abundant number, since it is smaller than the sum of its proper divisors (177318544).

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

80263872 is a wasteful number, since it uses less digits than its factorization.

80263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 80263872 is about 8959.0106596655. The cubic root of 80263872 is about 431.3601639164.

Adding to 80263872 its product of nonzero digits (32256), we get a triangular number (80296128 = T12672).

The spelling of 80263872 in words is "eighty million, two hundred sixty-three thousand, eight hundred seventy-two".