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55219248 = 24327291889
BaseRepresentation
bin1101001010100…
…1010000110000
310211220102120100
43102221100300
5103114003443
65251312400
71240233030
oct322512060
9124812510
1055219248
1129196047
12165ab700
13b594c16
1474958c0
154cab3d3
hex34a9430

55219248 has 120 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 15224832.

The previous prime is 55219237. The next prime is 55219259. The reversal of 55219248 is 84291255.

55219248 is a `hidden beast` number, since 5 + 521 + 92 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (55219237) and next prime (55219259).

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

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, 28288 + ... + 30176.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 255219248 is an apocalyptic number.

55219248 is a gapful number since it is divisible by the number (58) 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 55219248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

55219248 is an abundant number, since it is smaller than the sum of its proper divisors (127581552).

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

55219248 is a wasteful number, since it uses less digits than its factorization.

55219248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1930 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 55219248 is about 7430.9654823583. The cubic root of 55219248 is about 380.7999031965.

The spelling of 55219248 in words is "fifty-five million, two hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 1889 2088 2436 3248 3654 3778 4176 4872 5667 7308 7556 9744 11334 13223 14616 15112 17001 22668 26446 29232 30224 34002 39669 45336 52892 54781 68004 79338 90672 105784 109562 119007 136008 158676 164343 211568 219124 238014 272016 317352 328686 383467 438248 476028 493029 634704 657372 766934 876496 952056 986058 1150401 1314744 1533868 1904112 1972116 2300802 2629488 3067736 3451203 3944232 4601604 6135472 6902406 7888464 9203208 13804812 18406416 27609624 55219248