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83788056 = 233211671579
BaseRepresentation
bin1001111111010…
…00000100011000
312211122212121100
410333220010120
5132422204211
612151511400
72035121022
oct477500430
9184585540
1083788056
1143329230
1224088560
1314488641
14b1b1012
157551156
hex4fe8118

83788056 has 96 divisors (see below), whose sum is σ = 251409600. Its totient is φ = 24995520.

The previous prime is 83788049. The next prime is 83788063. The reversal of 83788056 is 65088738.

It is an interprime number because it is at equal distance from previous prime (83788049) and next prime (83788063).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52275 + ... + 53853.

It is an arithmetic number, because the mean of its divisors is an integer number (2618850).

Almost surely, 283788056 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 83788056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125704800).

83788056 is an abundant number, since it is smaller than the sum of its proper divisors (167621544).

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

83788056 is a wasteful number, since it uses less digits than its factorization.

83788056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 83788056 is about 9153.5815941084. The cubic root of 83788056 is about 437.5832653491.

The spelling of 83788056 in words is "eighty-three million, seven hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 132 134 198 201 264 268 396 402 536 603 737 792 804 1206 1474 1579 1608 2211 2412 2948 3158 4422 4737 4824 5896 6316 6633 8844 9474 12632 13266 14211 17369 17688 18948 26532 28422 34738 37896 52107 53064 56844 69476 104214 105793 113688 138952 156321 208428 211586 312642 317379 416856 423172 625284 634758 846344 952137 1163723 1250568 1269516 1904274 2327446 2539032 3491169 3808548 4654892 6982338 7617096 9309784 10473507 13964676 20947014 27929352 41894028 83788056