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54903852 = 2233232312
BaseRepresentation
bin1101000101110…
…0010000101100
310211022101221000
43101130100230
5103023410402
65240440300
71234450353
oct321342054
9124271830
1054903852
1128aa0093
1216479090
13b4b44b3
14741299a
154c47c1c
hex345c42c

54903852 has 108 divisors (see below), whose sum is σ = 153756120. Its totient is φ = 16940880.

The previous prime is 54903847. The next prime is 54903857. The reversal of 54903852 is 25830945.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (54903847) and next prime (54903857).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54903857) 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 35 ways as a sum of consecutive naturals, for example, 1771077 + ... + 1771107.

Almost surely, 254903852 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 54903852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76878060).

54903852 is an abundant number, since it is smaller than the sum of its proper divisors (98852268).

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

54903852 is a wasteful number, since it uses less digits than its factorization.

54903852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 54903852 is about 7409.7133547797. The cubic root of 54903852 is about 380.0735130168.

Multiplying 54903852 by its product of nonzero digits (43200), we get a square (2371846406400 = 15400802).

It can be divided in two parts, 54903 and 852, that added together give a palindrome (55755).

The spelling of 54903852 in words is "fifty-four million, nine hundred three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 92 93 108 124 138 186 207 276 279 372 414 529 558 621 713 828 837 961 1058 1116 1242 1426 1587 1674 1922 2116 2139 2484 2852 2883 3174 3348 3844 4278 4761 5766 6348 6417 8556 8649 9522 11532 12834 14283 16399 17298 19044 19251 22103 25668 25947 28566 32798 34596 38502 44206 49197 51894 57132 65596 66309 77004 88412 98394 103788 132618 147591 196788 198927 265236 295182 397854 442773 508369 590364 596781 795708 885546 1016738 1193562 1525107 1771092 2033476 2387124 3050214 4575321 6100428 9150642 13725963 18301284 27451926 54903852