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54702816 = 2537229401
BaseRepresentation
bin1101000010101…
…1001011100000
310210221012011020
43100223023200
5103000442231
65232245440
71232652300
oct320531340
9123835136
1054702816
1128973043
12163a0880
13b443b3c
14739d600
154c08396
hex342b2e0

54702816 has 144 divisors (see below), whose sum is σ = 173229840. Its totient is φ = 15052800.

The previous prime is 54702811. The next prime is 54702827. The reversal of 54702816 is 61820745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54702811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136216 + ... + 136616.

It is an arithmetic number, because the mean of its divisors is an integer number (1202985).

Almost surely, 254702816 is an apocalyptic number.

54702816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54702816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86614920).

54702816 is an abundant number, since it is smaller than the sum of its proper divisors (118527024).

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

54702816 is a wasteful number, since it uses less digits than its factorization.

54702816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 54702816 is about 7396.1352069848. The cubic root of 54702816 is about 379.6090531459.

The spelling of 54702816 in words is "fifty-four million, seven hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 196 203 224 232 294 336 348 392 401 406 464 588 609 672 696 784 802 812 928 1176 1203 1218 1392 1421 1568 1604 1624 2352 2406 2436 2784 2807 2842 3208 3248 4263 4704 4812 4872 5614 5684 6416 6496 8421 8526 9624 9744 11228 11368 11629 12832 16842 17052 19248 19488 19649 22456 22736 23258 33684 34104 34887 38496 39298 44912 45472 46516 58947 67368 68208 69774 78596 81403 89824 93032 117894 134736 136416 139548 157192 162806 186064 235788 244209 269472 279096 314384 325612 372128 471576 488418 558192 569821 628768 651224 943152 976836 1116384 1139642 1302448 1709463 1886304 1953672 2279284 2604896 3418926 3907344 4558568 6837852 7814688 9117136 13675704 18234272 27351408 54702816