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55984068 = 22337271149
BaseRepresentation
bin1101010110001…
…1111111000100
310220100021201000
43111203333010
5103312442233
65315533300
71246566600
oct325437704
9126307630
1055984068
1129668728
12168ba230
13b7a208a
147614500
154dacd13
hex3563fc4

55984068 has 144 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 15664320.

The previous prime is 55984067. The next prime is 55984069. The reversal of 55984068 is 86048955.

It is an interprime number because it is at equal distance from previous prime (55984067) and next prime (55984069).

It is not an unprimeable number, because it can be changed into a prime (55984067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375658 + ... + 375806.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 255984068 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 55984068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

55984068 is an abundant number, since it is smaller than the sum of its proper divisors (116383932).

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

55984068 is a wasteful number, since it uses less digits than its factorization.

55984068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55984068 is about 7482.2501962979. The cubic root of 55984068 is about 382.5499511851.

The spelling of 55984068 in words is "fifty-five million, nine hundred eighty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 71 84 98 108 126 142 147 149 189 196 213 252 284 294 298 378 426 441 447 497 588 596 639 756 852 882 894 994 1043 1278 1323 1341 1491 1764 1788 1917 1988 2086 2556 2646 2682 2982 3129 3479 3834 4023 4172 4473 5292 5364 5964 6258 6958 7301 7668 8046 8946 9387 10437 10579 12516 13419 13916 14602 16092 17892 18774 20874 21158 21903 26838 28161 29204 31311 31737 37548 41748 42316 43806 53676 56322 62622 63474 65709 74053 87612 93933 95211 112644 125244 126948 131418 148106 187866 190422 197127 222159 262836 285633 296212 375732 380844 394254 444318 518371 571266 666477 788508 888636 1036742 1142532 1332954 1555113 1999431 2073484 2665908 3110226 3998862 4665339 6220452 7997724 9330678 13996017 18661356 27992034 55984068