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54902772 = 2234414133
BaseRepresentation
bin1101000101101…
…1111111110100
310211022100110000
43101123333310
5103023342042
65240431300
71234444251
oct321337764
9124270400
1054902772
1128a9a2a1
1216478530
13b4b3b62
147412428
154c4774c
hex345bff4

54902772 has 60 divisors (see below), whose sum is σ = 147062916. Its totient is φ = 17850240.

The previous prime is 54902747. The next prime is 54902773. The reversal of 54902772 is 27720945.

It can be written as a sum of positive squares in 2 ways, for example, as 18974736 + 35928036 = 4356^2 + 5994^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54902773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11218 + ... + 15350.

Almost surely, 254902772 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 54902772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73531458).

54902772 is an abundant number, since it is smaller than the sum of its proper divisors (92160144).

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

54902772 is a wasteful number, since it uses less digits than its factorization.

54902772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 54902772 is about 7409.6404771082. The cubic root of 54902772 is about 380.0710208899.

The spelling of 54902772 in words is "fifty-four million, nine hundred two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4133 4428 6642 8266 12399 13284 16532 24798 37197 49596 74394 111591 148788 169453 223182 334773 338906 446364 508359 669546 677812 1016718 1339092 1525077 2033436 3050154 4575231 6100308 9150462 13725693 18300924 27451386 54902772