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55695024 = 24327115023
BaseRepresentation
bin1101010001110…
…1011010110000
310212210121012200
43110131122300
5103224220044
65305423200
71244254110
oct324353260
9125717180
1055695024
1129490550
121679ab00
13b700648
14757b040
154d52369
hex351d6b0

55695024 has 120 divisors (see below), whose sum is σ = 194368512. Its totient is φ = 14463360.

The previous prime is 55695011. The next prime is 55695037. The reversal of 55695024 is 42059655.

55695024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55695011) and next prime (55695037).

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

It is a self number, because there is not a number n which added to its sum of digits gives 55695024.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8577 + ... + 13599.

Almost surely, 255695024 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 55695024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97184256).

55695024 is an abundant number, since it is smaller than the sum of its proper divisors (138673488).

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

55695024 is a wasteful number, since it uses less digits than its factorization.

55695024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 55695024 is about 7462.9098882406. The cubic root of 55695024 is about 381.8904503898.

The spelling of 55695024 in words is "fifty-five million, six hundred ninety-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5023 5544 10046 11088 15069 20092 30138 35161 40184 45207 55253 60276 70322 80368 90414 105483 110506 120552 140644 165759 180828 210966 221012 241104 281288 316449 331518 361656 386771 421932 442024 497277 562576 632898 663036 723312 773542 843864 884048 994554 1160313 1265796 1326072 1547084 1687728 1989108 2320626 2531592 2652144 3094168 3480939 3978216 4641252 5063184 6188336 6961878 7956432 9282504 13923756 18565008 27847512 55695024