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83788380 = 223251361587
BaseRepresentation
bin1001111111010…
…00001001011100
312211122220001100
410333220021130
5132422212010
612151513100
72035121664
oct477501134
9184586040
1083788380
11433294a5
1224088790
1314488830
14b1b11a4
1575512c0
hex4fe825c

83788380 has 144 divisors (see below), whose sum is σ = 278669664. Its totient is φ = 20252160.

The previous prime is 83788373. The next prime is 83788403. The reversal of 83788380 is 8388738.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 142447 + ... + 143033.

It is an arithmetic number, because the mean of its divisors is an integer number (1935206).

Almost surely, 283788380 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 83788380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139334832).

83788380 is an abundant number, since it is smaller than the sum of its proper divisors (194881284).

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

83788380 is a wasteful number, since it uses less digits than its factorization.

83788380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 83788380 is about 9153.5992920818. The cubic root of 83788380 is about 437.5838293786.

The spelling of 83788380 in words is "eighty-three million, seven hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 78 90 117 122 130 156 180 183 195 234 244 260 305 366 390 468 549 585 587 610 732 780 793 915 1098 1170 1174 1220 1586 1761 1830 2196 2340 2348 2379 2745 2935 3172 3522 3660 3965 4758 5283 5490 5870 7044 7137 7631 7930 8805 9516 10566 10980 11740 11895 14274 15262 15860 17610 21132 22893 23790 26415 28548 30524 35220 35685 35807 38155 45786 47580 52830 68679 71370 71614 76310 91572 105660 107421 114465 137358 142740 143228 152620 179035 214842 228930 274716 322263 343395 358070 429684 457860 465491 537105 644526 686790 716140 930982 1074210 1289052 1373580 1396473 1611315 1861964 2148420 2327455 2792946 3222630 4189419 4654910 5585892 6445260 6982365 8378838 9309820 13964730 16757676 20947095 27929460 41894190 83788380