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76608532 = 227111319253
BaseRepresentation
bin1001001000011…
…11010000010100
312100011010011001
410210033100110
5124102433112
611333553044
71620106330
oct444172024
9170133131
1076608532
113a275140
12217a5784
1312b437c0
14a2627c0
156ad3c57
hex490f414

76608532 has 144 divisors (see below), whose sum is σ = 193560192. Its totient is φ = 25608960.

The previous prime is 76608529. The next prime is 76608557. The reversal of 76608532 is 23580667.

It is a junction number, because it is equal to n+sod(n) for n = 76608491 and 76608500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1445418 + ... + 1445470.

It is an arithmetic number, because the mean of its divisors is an integer number (1344168).

Almost surely, 276608532 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 76608532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96780096).

76608532 is an abundant number, since it is smaller than the sum of its proper divisors (116951660).

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

76608532 is a wasteful number, since it uses less digits than its factorization.

76608532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 76608532 is about 8752.6300047471. The cubic root of 76608532 is about 424.7098956766.

It can be divided in two parts, 76608 and 532, that multiplied together give a square (40755456 = 63842).

The spelling of 76608532 in words is "seventy-six million, six hundred eight thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 53 76 77 91 106 133 143 154 182 209 212 247 266 286 308 361 364 371 418 494 532 572 583 689 722 742 836 988 1001 1007 1166 1378 1444 1463 1484 1729 2002 2014 2332 2527 2717 2756 2926 3458 3971 4004 4028 4081 4693 4823 5054 5434 5852 6916 7049 7579 7942 8162 9386 9646 10108 10868 11077 13091 14098 15158 15884 16324 18772 19019 19133 19292 22154 26182 27797 28196 30316 32851 38038 38266 44308 51623 52364 53053 55594 65702 76076 76532 77539 91637 103246 106106 111188 131404 133931 144001 155078 183274 206492 210463 212212 248729 267862 288002 310156 361361 366548 420926 497458 535724 576004 722722 841852 994916 1008007 1445444 1473241 1741103 2016014 2736019 2946482 3482206 4032028 5472038 5892964 6964412 10944076 19152133 38304266 76608532