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54653620 = 2257331257
BaseRepresentation
bin1101000001111…
…1001010110100
310210211200200011
43100133022310
5102442403440
65231230004
71232356000
oct320371264
9123750604
1054653620
112893a08a
1216378304
13b427628
147389700
154be89ea
hex341f2b4

54653620 has 96 divisors (see below), whose sum is σ = 138700800. Its totient is φ = 18063360.

The previous prime is 54653617. The next prime is 54653629. The reversal of 54653620 is 2635645.

54653620 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 (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54653629) 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 31 ways as a sum of consecutive naturals, for example, 212532 + ... + 212788.

It is an arithmetic number, because the mean of its divisors is an integer number (1444800).

Almost surely, 254653620 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 54653620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69350400).

54653620 is an abundant number, since it is smaller than the sum of its proper divisors (84047180).

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

54653620 is a wasteful number, since it uses less digits than its factorization.

54653620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 54653620 is about 7392.8086678880. The cubic root of 54653620 is about 379.4952208086.

The spelling of 54653620 in words is "fifty-four million, six hundred fifty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 257 310 343 434 490 514 620 686 868 980 1028 1085 1285 1372 1519 1715 1799 2170 2570 3038 3430 3598 4340 5140 6076 6860 7196 7595 7967 8995 10633 12593 15190 15934 17990 21266 25186 30380 31868 35980 39835 42532 50372 53165 55769 62965 79670 88151 106330 111538 125930 159340 176302 212660 223076 251860 278845 352604 390383 440755 557690 780766 881510 1115380 1561532 1763020 1951915 2732681 3903830 5465362 7807660 10930724 13663405 27326810 54653620