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78525876 = 223111367683
BaseRepresentation
bin1001010111000…
…11010110110100
312110202112020210
410223203112310
5130100312001
611443025420
71642313262
oct453432664
9173675223
1078525876
1140364720
122236b270
1313365420
14a601432
156d61dd6
hex4ae35b4

78525876 has 96 divisors (see below), whose sum is σ = 218792448. Its totient is φ = 21605760.

The previous prime is 78525859. The next prime is 78525901. The reversal of 78525876 is 67852587.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114631 + ... + 115313.

It is an arithmetic number, because the mean of its divisors is an integer number (2279088).

Almost surely, 278525876 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 78525876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109396224).

78525876 is an abundant number, since it is smaller than the sum of its proper divisors (140266572).

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

78525876 is a wasteful number, since it uses less digits than its factorization.

78525876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 779 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The square root of 78525876 is about 8861.4827201773. The cubic root of 78525876 is about 428.2239271346.

Subtracting from 78525876 its reverse (67852587), we obtain a square (10673289 = 32672).

It can be divided in two parts, 78525 and 876, that added together give a triangular number (79401 = T398).

The spelling of 78525876 in words is "seventy-eight million, five hundred twenty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 67 78 132 134 143 156 201 268 286 402 429 572 683 737 804 858 871 1366 1474 1716 1742 2049 2211 2613 2732 2948 3484 4098 4422 5226 7513 8196 8844 8879 9581 10452 15026 17758 19162 22539 26637 28743 30052 35516 38324 45078 45761 53274 57486 90156 91522 97669 106548 114972 137283 183044 195338 274566 293007 390676 503371 549132 586014 594893 1006742 1172028 1189786 1510113 1784679 2013484 2379572 3020226 3569358 6040452 6543823 7138716 13087646 19631469 26175292 39262938 78525876