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77481216 = 283233629
BaseRepresentation
bin1001001111001…
…00010100000000
312101210110020200
410213210110000
5124313344331
611404405200
71630402521
oct447442400
9171713220
1077481216
113a81086a
1221b46800
131308aa97
14a40c848
156c075e6
hex49e4500

77481216 has 54 divisors (see below), whose sum is σ = 223404090. Its totient is φ = 25826304.

The previous prime is 77481211. The next prime is 77481269. The reversal of 77481216 is 61218477.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 22127616 = 7440^2 + 4704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77481211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14511 + ... + 19118.

Almost surely, 277481216 is an apocalyptic number.

It is an amenable number.

77481216 is an abundant number, since it is smaller than the sum of its proper divisors (145922874).

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

77481216 is a wasteful number, since it uses less digits than its factorization.

77481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33651 (or 33634 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 77481216 is about 8802.3415066674. The cubic root of 77481216 is about 426.3165008916.

The spelling of 77481216 in words is "seventy-seven million, four hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 33629 67258 100887 134516 201774 269032 302661 403548 538064 605322 807096 1076128 1210644 1614192 2152256 2421288 3228384 4304512 4842576 6456768 8609024 9685152 12913536 19370304 25827072 38740608 77481216