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76228608 = 211319653
BaseRepresentation
bin1001000101100…
…10100000000000
312022102210222210
410202302200000
5124003303413
611321502120
71613634561
oct442624000
9168383883
1076228608
113a035755
1221641940
1312a3c8b1
14a1a4168
156a5b3c3
hex48b2800

76228608 has 96 divisors (see below), whose sum is σ = 214250400. Its totient is φ = 24035328.

The previous prime is 76228591. The next prime is 76228651. The reversal of 76228608 is 80682267.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116410 + ... + 117062.

It is an arithmetic number, because the mean of its divisors is an integer number (2231775).

Almost surely, 276228608 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 76228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107125200).

76228608 is an abundant number, since it is smaller than the sum of its proper divisors (138021792).

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

76228608 is a wasteful number, since it uses less digits than its factorization.

76228608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 76228608 is about 8730.8996100058. The cubic root of 76228608 is about 424.0066452026.

The spelling of 76228608 in words is "seventy-six million, two hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 653 768 912 1024 1216 1306 1536 1824 1959 2048 2432 2612 3072 3648 3918 4864 5224 6144 7296 7836 9728 10448 12407 14592 15672 19456 20896 24814 29184 31344 37221 38912 41792 49628 58368 62688 74442 83584 99256 116736 125376 148884 167168 198512 250752 297768 334336 397024 501504 595536 668672 794048 1003008 1191072 1337344 1588096 2006016 2382144 3176192 4012032 4764288 6352384 9528576 12704768 19057152 25409536 38114304 76228608