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54954284 = 22721171359
BaseRepresentation
bin1101000110100…
…0100100101100
310211101222002212
43101220210230
5103032014114
65241505552
71235050400
oct321504454
9124358085
1054954284
1129024a70
12164a22b8
13b501438
147427100
154c57b3e
hex346892c

54954284 has 72 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 21050400.

The previous prime is 54954281. The next prime is 54954293. The reversal of 54954284 is 48245945.

Its product of digits (230400) is a multiple of the sum of its prime divisors (450).

It is not an unprimeable number, because it can be changed into a prime (54954281) 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, 152897 + ... + 153255.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 254954284 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 54954284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

54954284 is an abundant number, since it is smaller than the sum of its proper divisors (69150676).

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

54954284 is a wasteful number, since it uses less digits than its factorization.

54954284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 54954284 is about 7413.1156742627. The cubic root of 54954284 is about 380.1898497327.

It can be divided in two parts, 5495 and 4284, that added together give a palindrome (9779).

The spelling of 54954284 in words is "fifty-four million, nine hundred fifty-four thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 71 77 98 142 154 196 284 308 359 497 539 718 781 994 1078 1436 1562 1988 2156 2513 3124 3479 3949 5026 5467 6958 7898 10052 10934 13916 15796 17591 21868 25489 27643 35182 38269 50978 55286 70364 76538 101956 110572 153076 178423 193501 280379 356846 387002 560758 713692 774004 1121516 1248961 1962653 2497922 3925306 4995844 7850612 13738571 27477142 54954284