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55690368 = 2731719449
BaseRepresentation
bin1101010001110…
…0010010000000
310212210100211020
43110130102000
5103224042433
65305345440
71244234406
oct324342200
9125710736
1055690368
1129487aa8
1216798280
13b6cb4a6
147579476
154d50cb3
hex351c480

55690368 has 128 divisors (see below), whose sum is σ = 165240000. Its totient is φ = 16515072.

The previous prime is 55690367. The next prime is 55690373. The reversal of 55690368 is 86309655.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (55690367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123808 + ... + 124256.

Almost surely, 255690368 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 55690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82620000).

55690368 is an abundant number, since it is smaller than the sum of its proper divisors (109549632).

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

55690368 is a wasteful number, since it uses less digits than its factorization.

55690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 55690368 is about 7462.5979390558. The cubic root of 55690368 is about 381.8798083171.

The spelling of 55690368 in words is "fifty-five million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 272 304 323 384 408 449 456 544 608 646 816 898 912 969 1088 1216 1292 1347 1632 1796 1824 1938 2176 2432 2584 2694 3264 3592 3648 3876 5168 5388 6528 7184 7296 7633 7752 8531 10336 10776 14368 15266 15504 17062 20672 21552 22899 25593 28736 30532 31008 34124 41344 43104 45798 51186 57472 61064 62016 68248 86208 91596 102372 122128 124032 136496 145027 172416 183192 204744 244256 272992 290054 366384 409488 435081 488512 545984 580108 732768 818976 870162 977024 1091968 1160216 1465536 1637952 1740324 2320432 2931072 3275904 3480648 4640864 6961296 9281728 13922592 18563456 27845184 55690368