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55195872 = 25317311091
BaseRepresentation
bin1101001010001…
…1100011100000
310211212020111120
43102203203200
5103112231442
65251012240
71240104624
oct322434340
9124766446
1055195872
112917a526
121659a080
13b5873a4
14748b184
154ca44ec
hex34a38e0

55195872 has 96 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 16742400.

The previous prime is 55195871. The next prime is 55195879. The reversal of 55195872 is 27859155.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55195871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50047 + ... + 51137.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 255195872 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 55195872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

55195872 is an abundant number, since it is smaller than the sum of its proper divisors (103310112).

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

55195872 is a wasteful number, since it uses less digits than its factorization.

55195872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1144 counting only the distinct ones).

The product of its digits is 126000, while the sum is 42.

The square root of 55195872 is about 7429.3924381473. The cubic root of 55195872 is about 380.7461608557.

The spelling of 55195872 in words is "fifty-five million, one hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1091 1488 1581 1632 2108 2182 2976 3162 3273 4216 4364 6324 6546 8432 8728 12648 13092 16864 17456 18547 25296 26184 33821 34912 37094 50592 52368 55641 67642 74188 101463 104736 111282 135284 148376 202926 222564 270568 296752 405852 445128 541136 574957 593504 811704 890256 1082272 1149914 1623408 1724871 1780512 2299828 3246816 3449742 4599656 6899484 9199312 13798968 18398624 27597936 55195872