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55002552 = 23311533931
BaseRepresentation
bin1101000111010…
…0010110111000
310211111102022120
43101310112320
5103040040202
65242521240
71235341203
oct321642670
9124442276
1055002552
1129058260
1216506220
13b51a3b7
14743a93a
154c670bc
hex34745b8

55002552 has 64 divisors (see below), whose sum is σ = 152876160. Its totient is φ = 16348800.

The previous prime is 55002539. The next prime is 55002553. The reversal of 55002552 is 25520055.

55002552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55002553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12027 + ... + 15957.

It is an arithmetic number, because the mean of its divisors is an integer number (2388690).

Almost surely, 255002552 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 55002552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76438080).

55002552 is an abundant number, since it is smaller than the sum of its proper divisors (97873608).

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

55002552 is a wasteful number, since it uses less digits than its factorization.

55002552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 55002552 is about 7416.3705409048. The cubic root of 55002552 is about 380.3011278850.

The spelling of 55002552 in words is "fifty-five million, two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 3931 4664 6996 7862 11793 13992 15724 23586 31448 43241 47172 86482 94344 129723 172964 208343 259446 345928 416686 518892 625029 833372 1037784 1250058 1666744 2291773 2500116 4583546 5000232 6875319 9167092 13750638 18334184 27501276 55002552