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55573344 = 2533131491
BaseRepresentation
bin1101001111111…
…1101101100000
310212120102022000
43103333231200
5103211321334
65303044000
71243236261
oct323775540
9125512260
1055573344
1129408092
1216740600
13b68a148
147548968
154d2b299
hex34ffb60

55573344 has 96 divisors (see below), whose sum is σ = 163658880. Its totient is φ = 18345600.

The previous prime is 55573321. The next prime is 55573361. The reversal of 55573344 is 44337555.

55573344 is a `hidden beast` number, since 55 + 573 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 55573299 and 55573308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112939 + ... + 113429.

It is an arithmetic number, because the mean of its divisors is an integer number (1704780).

Almost surely, 255573344 is an apocalyptic number.

55573344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55573344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81829440).

55573344 is an abundant number, since it is smaller than the sum of its proper divisors (108085536).

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

55573344 is a wasteful number, since it uses less digits than its factorization.

55573344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its digits is 126000, while the sum is 36.

The square root of 55573344 is about 7454.7531146243. The cubic root of 55573344 is about 381.6121352100.

The spelling of 55573344 in words is "fifty-five million, five hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 131 144 216 262 288 393 432 491 524 786 864 982 1048 1179 1473 1572 1964 2096 2358 2946 3144 3537 3928 4192 4419 4716 5892 6288 7074 7856 8838 9432 11784 12576 13257 14148 15712 17676 18864 23568 26514 28296 35352 37728 47136 53028 56592 64321 70704 106056 113184 128642 141408 192963 212112 257284 385926 424224 514568 578889 771852 1029136 1157778 1543704 1736667 2058272 2315556 3087408 3473334 4631112 6174816 6946668 9262224 13893336 18524448 27786672 55573344