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55340352 = 2632293313
BaseRepresentation
bin1101001100011…
…0110101000000
310212010120200200
43103012311000
5103131342402
65254045200
71241246064
oct323066500
9125116620
1055340352
1129269031
1216649800
13b608092
1474c7aa4
154cd221c
hex34c6d40

55340352 has 84 divisors (see below), whose sum is σ = 164142420. Its totient is φ = 17805312.

The previous prime is 55340347. The next prime is 55340353. The reversal of 55340352 is 25304355.

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 13660416 = 6456^2 + 3696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55340353) 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 11 ways as a sum of consecutive naturals, for example, 15048 + ... + 18360.

Almost surely, 255340352 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 55340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82071210).

55340352 is an abundant number, since it is smaller than the sum of its proper divisors (108802068).

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

55340352 is a wasteful number, since it uses less digits than its factorization.

55340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 55340352 is about 7439.1096241419. The cubic root of 55340352 is about 381.0780834857.

The spelling of 55340352 in words is "fifty-five million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 3313 4176 5568 6626 8352 9939 13252 16704 19878 26504 29817 39756 53008 59634 79512 96077 106016 119268 159024 192154 212032 238536 288231 318048 384308 477072 576462 636096 768616 864693 954144 1152924 1537232 1729386 1908288 2305848 3074464 3458772 4611696 6148928 6917544 9223392 13835088 18446784 27670176 55340352