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55841436 = 223273753113
BaseRepresentation
bin1101010100000…
…1001010011100
310220002001001100
43111001022130
5103243411221
65312513100
71245434010
oct325011234
9126061040
1055841436
1129580552
121684b790
13b752191
1475b8540
154d80926
hex354129c

55841436 has 144 divisors (see below), whose sum is σ = 170299584. Its totient is φ = 15095808.

The previous prime is 55841411. The next prime is 55841449. The reversal of 55841436 is 63414855.

It is a happy number.

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 55841436.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 494116 + ... + 494228.

It is an arithmetic number, because the mean of its divisors is an integer number (1182636).

Almost surely, 255841436 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 55841436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85149792).

55841436 is an abundant number, since it is smaller than the sum of its proper divisors (114458148).

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

55841436 is a wasteful number, since it uses less digits than its factorization.

55841436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 55841436 is about 7472.7127604371. The cubic root of 55841436 is about 382.2247975584.

The spelling of 55841436 in words is "fifty-five million, eight hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 53 63 74 84 106 111 113 126 148 159 212 222 226 252 259 318 333 339 371 444 452 477 518 636 666 678 742 777 791 954 1017 1036 1113 1332 1356 1484 1554 1582 1908 1961 2034 2226 2331 2373 3108 3164 3339 3922 4068 4181 4452 4662 4746 5883 5989 6678 7119 7844 8362 9324 9492 11766 11978 12543 13356 13727 14238 16724 17649 17967 23532 23956 25086 27454 28476 29267 35298 35934 37629 41181 41923 50172 53901 54908 58534 70596 71868 75258 82362 83846 87801 107802 117068 123543 125769 150516 164724 167692 175602 215604 221593 247086 251538 263403 351204 377307 443186 494172 503076 526806 664779 754614 886372 1053612 1329558 1509228 1551151 1994337 2659116 3102302 3988674 4653453 6204604 7977348 9306906 13960359 18613812 27920718 55841436