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55362804 = 22373747379
BaseRepresentation
bin1101001100110…
…0010011110100
310212011201111020
43103030103310
5103133102204
65254341140
71241401410
oct323142364
9125151436
1055362804
1129283992
121665a7b0
13b615373
1474d1d40
154cd8bd9
hex34cc4f4

55362804 has 96 divisors (see below), whose sum is σ = 155258880. Its totient is φ = 15023232.

The previous prime is 55362799. The next prime is 55362859. The reversal of 55362804 is 40826355.

55362804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 145887 + ... + 146265.

It is an arithmetic number, because the mean of its divisors is an integer number (1617280).

Almost surely, 255362804 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 55362804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77629440).

55362804 is an abundant number, since it is smaller than the sum of its proper divisors (99896076).

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

55362804 is a wasteful number, since it uses less digits than its factorization.

55362804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 55362804 is about 7440.6185226767. The cubic root of 55362804 is about 381.1296119396.

The spelling of 55362804 in words is "fifty-five million, three hundred sixty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 47 74 84 94 111 141 148 188 222 259 282 329 379 444 518 564 658 758 777 987 1036 1137 1316 1516 1554 1739 1974 2274 2653 3108 3478 3948 4548 5217 5306 6956 7959 10434 10612 12173 14023 15918 17813 20868 24346 28046 31836 35626 36519 42069 48692 53439 56092 71252 73038 84138 98161 106878 124691 146076 168276 196322 213756 249382 294483 374073 392644 498764 588966 659081 748146 1177932 1318162 1496292 1977243 2636324 3954486 4613567 7908972 9227134 13840701 18454268 27681402 55362804