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78996544 = 261121012
BaseRepresentation
bin1001011010101…
…10010001000000
312111122102212221
410231112101000
5130210342134
611501100424
71646313424
oct455262100
9174572787
1078996544
1140656300
1222557714
131349b723
14a6c4b84
156e065b4
hex4b56440

78996544 has 63 divisors (see below), whose sum is σ = 174027973. Its totient is φ = 35552000.

The previous prime is 78996539. The next prime is 78996557. The reversal of 78996544 is 44569987.

It is a happy number.

The square root of 78996544 is 8888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75898944 + 3097600 = 8712^2 + 1760^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78996491 and 78996500.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 782094 + ... + 782194.

Almost surely, 278996544 is an apocalyptic number.

78996544 is the 8888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78996544

78996544 is an abundant number, since it is smaller than the sum of its proper divisors (95031429).

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

78996544 is a wasteful number, since it uses less digits than its factorization.

78996544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 114 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The cubic root of 78996544 is about 429.0777855884.

The spelling of 78996544 in words is "seventy-eight million, nine hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 121 176 202 242 352 404 484 704 808 968 1111 1616 1936 2222 3232 3872 4444 6464 7744 8888 10201 12221 17776 20402 24442 35552 40804 48884 71104 81608 97768 112211 163216 195536 224422 326432 391072 448844 652864 782144 897688 1234321 1795376 2468642 3590752 4937284 7181504 9874568 19749136 39498272 78996544