Search a number
-
+
52096176 = 24331119577
BaseRepresentation
bin1100011010111…
…0110010110000
310122000202112000
43012232302300
5101314034201
65100334000
71201544616
oct306566260
9118022460
1052096176
11274526a0
1215544300
13aa40552
146cc16b6
154890d86
hex31aecb0

52096176 has 160 divisors (see below), whose sum is σ = 172012800. Its totient is φ = 14929920.

The previous prime is 52096169. The next prime is 52096181. The reversal of 52096176 is 67169025.

52096176 is a `hidden beast` number, since 520 + 9 + 61 + 76 = 666.

52096176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 52096176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90000 + ... + 90576.

It is an arithmetic number, because the mean of its divisors is an integer number (1075080).

Almost surely, 252096176 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 52096176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86006400).

52096176 is an abundant number, since it is smaller than the sum of its proper divisors (119916624).

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

52096176 is a wasteful number, since it uses less digits than its factorization.

52096176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 52096176 is about 7217.7680760745. The cubic root of 52096176 is about 373.4810880571.

The spelling of 52096176 in words is "fifty-two million, ninety-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 577 594 627 684 792 836 912 1026 1154 1188 1254 1368 1584 1672 1731 1881 2052 2308 2376 2508 2736 3344 3462 3762 4104 4616 4752 5016 5193 5643 6347 6924 7524 8208 9232 10032 10386 10963 11286 12694 13848 15048 15579 19041 20772 21926 22572 25388 27696 30096 31158 32889 38082 41544 43852 45144 50776 57123 62316 65778 76164 83088 87704 90288 98667 101552 114246 120593 124632 131556 152328 171369 175408 197334 228492 241186 249264 263112 296001 304656 342738 361779 394668 456984 482372 526224 592002 685476 723558 789336 913968 964744 1085337 1184004 1370952 1447116 1578672 1929488 2170674 2368008 2741904 2894232 3256011 4341348 4736016 5788464 6512022 8682696 13024044 17365392 26048088 52096176