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55693824 = 293101359
BaseRepresentation
bin1101010001110…
…1001000000000
310212210112120020
43110131020000
5103224200244
65305413440
71244250444
oct324351000
9125715506
1055693824
112948a65a
121679a280
13b6ccc34
14757a824
154d51d19
hex351d200

55693824 has 80 divisors (see below), whose sum is σ = 150258240. Its totient is φ = 18329600.

The previous prime is 55693789. The next prime is 55693829. The reversal of 55693824 is 42839655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55693829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154957 + ... + 155315.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 255693824 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 55693824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75129120).

55693824 is an abundant number, since it is smaller than the sum of its proper divisors (94564416).

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

55693824 is a wasteful number, since it uses less digits than its factorization.

55693824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 465 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 55693824 is about 7462.8294902135. The cubic root of 55693824 is about 381.8877076443.

The spelling of 55693824 in words is "fifty-five million, six hundred ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 359 384 404 512 606 718 768 808 1077 1212 1436 1536 1616 2154 2424 2872 3232 4308 4848 5744 6464 8616 9696 11488 12928 17232 19392 22976 25856 34464 36259 38784 45952 51712 68928 72518 77568 91904 108777 137856 145036 155136 183808 217554 275712 290072 435108 551424 580144 870216 1160288 1740432 2320576 3480864 4641152 6961728 9282304 13923456 18564608 27846912 55693824