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54151416 = 23341171107
BaseRepresentation
bin1100111010010…
…0100011111000
310202220011210000
43032210203320
5102330321131
65212353000
71225164564
oct316444370
9122804700
1054151416
1128626840
1216175760
13b2acb77
1472986a4
154b49ce6
hex33a48f8

54151416 has 160 divisors (see below), whose sum is σ = 169361280. Its totient is φ = 16027200.

The previous prime is 54151411. The next prime is 54151417. The reversal of 54151416 is 61415145.

54151416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 54151416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54151411) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 506035 + ... + 506141.

It is an arithmetic number, because the mean of its divisors is an integer number (1058508).

Almost surely, 254151416 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 54151416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84680640).

54151416 is an abundant number, since it is smaller than the sum of its proper divisors (115209864).

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

54151416 is a wasteful number, since it uses less digits than its factorization.

54151416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 54151416 is about 7358.7645702251. The cubic root of 54151416 is about 378.3292671435.

The spelling of 54151416 in words is "fifty-four million, one hundred fifty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 71 72 81 88 99 107 108 132 142 162 198 213 214 216 264 284 297 321 324 396 426 428 568 594 639 642 648 781 792 852 856 891 963 1177 1188 1278 1284 1562 1704 1782 1917 1926 2343 2354 2376 2556 2568 2889 3124 3531 3564 3834 3852 4686 4708 5112 5751 5778 6248 7029 7062 7128 7597 7668 7704 8667 9372 9416 10593 11502 11556 14058 14124 15194 15336 17334 18744 21087 21186 22791 23004 23112 28116 28248 30388 31779 34668 42174 42372 45582 46008 56232 60776 63261 63558 68373 69336 83567 84348 84744 91164 95337 126522 127116 136746 167134 168696 182328 190674 205119 250701 253044 254232 273492 334268 381348 410238 501402 506088 546984 615357 668536 752103 762696 820476 1002804 1230714 1504206 1640952 2005608 2256309 2461428 3008412 4512618 4922856 6016824 6768927 9025236 13537854 18050472 27075708 54151416