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78216336 = 2432112672
BaseRepresentation
bin1001010100101…
…11110010010000
312110011210122100
410222113302100
5130010410321
611432240400
71636553652
oct452276220
9173153570
1078216336
1140173100
1222240100
1313287573
14a5606d2
156d00326
hex4a97c90

78216336 has 135 divisors (see below), whose sum is σ = 244250643. Its totient is φ = 23348160.

The previous prime is 78216283. The next prime is 78216343. The reversal of 78216336 is 63361287.

It is a happy number.

The square root of 78216336 is 8844.

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

It is a super-2 number, since 2×782163362 = 12235590434529792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 78216336.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1167375 + ... + 1167441.

Almost surely, 278216336 is an apocalyptic number.

78216336 is the 8844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78216336

78216336 is an abundant number, since it is smaller than the sum of its proper divisors (166034307).

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

78216336 is a wasteful number, since it uses less digits than its factorization.

78216336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 83 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 78216336 is about 427.6605163100.

Multiplying 78216336 by its sum of digits (36), we get a square (2815788096 = 530642).

78216336 divided by its sum of digits (36) gives a square (2172676 = 14742).

The spelling of 78216336 in words is "seventy-eight million, two hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 67 72 88 99 121 132 134 144 176 198 201 242 264 268 363 396 402 484 528 536 603 726 737 792 804 968 1072 1089 1206 1452 1474 1584 1608 1936 2178 2211 2412 2904 2948 3216 4356 4422 4489 4824 5808 5896 6633 8107 8712 8844 8978 9648 11792 13266 13467 16214 17424 17688 17956 24321 26532 26934 32428 35376 35912 40401 48642 49379 53064 53868 64856 71824 72963 80802 97284 98758 106128 107736 129712 145926 148137 161604 194568 197516 215472 291852 296274 323208 389136 395032 444411 543169 583704 592548 646416 790064 888822 1086338 1167408 1185096 1629507 1777644 2172676 2370192 3259014 3555288 4345352 4888521 6518028 7110576 8690704 9777042 13036056 19554084 26072112 39108168 78216336