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55029216 = 2531131412
BaseRepresentation
bin1101000111101…
…0110111100000
310211112202220010
43101322313200
5103041413331
65243244520
71235512014
oct321726740
9124482803
1055029216
11290762a0
1216519740
13b529588
147446544
154c6ee46
hex347ade0

55029216 has 144 divisors (see below), whose sum is σ = 166731264. Its totient is φ = 15744000.

The previous prime is 55029203. The next prime is 55029251. The reversal of 55029216 is 61292055.

It is a happy number.

It is a super-2 number, since 2×550292162 = 6056429227149312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342156 + ... + 1342196.

It is an arithmetic number, because the mean of its divisors is an integer number (1157856).

Almost surely, 255029216 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 55029216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83365632).

55029216 is an abundant number, since it is smaller than the sum of its proper divisors (111702048).

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

55029216 is a wasteful number, since it uses less digits than its factorization.

55029216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55029216 is about 7418.1679679015. The cubic root of 55029216 is about 380.3625717680.

The spelling of 55029216 in words is "fifty-five million, twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 41 44 48 62 66 82 88 93 96 123 124 132 164 176 186 246 248 264 328 341 352 372 451 492 496 528 656 682 744 902 984 992 1023 1056 1271 1312 1353 1364 1488 1681 1804 1968 2046 2542 2706 2728 2976 3362 3608 3813 3936 4092 5043 5084 5412 5456 6724 7216 7626 8184 10086 10168 10824 10912 13448 13981 14432 15252 16368 18491 20172 20336 21648 26896 27962 30504 32736 36982 40344 40672 41943 43296 52111 53792 55473 55924 61008 73964 80688 83886 104222 110946 111848 122016 147928 156333 161376 167772 208444 221892 223696 295856 312666 335544 416888 443784 447392 573221 591712 625332 671088 833776 887568 1146442 1250664 1342176 1667552 1719663 1775136 2292884 2501328 3439326 4585768 5002656 6878652 9171536 13757304 18343072 27514608 55029216