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54953696 = 2572101347
BaseRepresentation
bin1101000110100…
…0011011100000
310211101221022002
43101220123200
5103032004241
65241503132
71235045600
oct321503340
9124357262
1054953696
1129024586
12164a1aa8
13b5010a5
147426c00
154c5789b
hex34686e0

54953696 has 72 divisors (see below), whose sum is σ = 127466136. Its totient is φ = 23251200.

The previous prime is 54953687. The next prime is 54953711. The reversal of 54953696 is 69635945.

It is a self number, because there is not a number n which added to its sum of digits gives 54953696.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 158195 + ... + 158541.

It is an arithmetic number, because the mean of its divisors is an integer number (1770363).

Almost surely, 254953696 is an apocalyptic number.

54953696 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 54953696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63733068).

54953696 is an abundant number, since it is smaller than the sum of its proper divisors (72512440).

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

54953696 is a wasteful number, since it uses less digits than its factorization.

54953696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its digits is 874800, while the sum is 47.

The square root of 54953696 is about 7413.0760147189. The cubic root of 54953696 is about 380.1884937424.

It can be divided in two parts, 549 and 53696, that added together give a palindrome (54245).

The spelling of 54953696 in words is "fifty-four million, nine hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 101 112 196 202 224 347 392 404 694 707 784 808 1388 1414 1568 1616 2429 2776 2828 3232 4858 4949 5552 5656 9716 9898 11104 11312 17003 19432 19796 22624 34006 35047 38864 39592 68012 70094 77728 79184 136024 140188 158368 245329 272048 280376 490658 544096 560752 981316 1121504 1717303 1962632 3434606 3925264 6869212 7850528 13738424 27476848 54953696