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55235376 = 24327371481
BaseRepresentation
bin1101001010110…
…1001100110000
310211221020200200
43102231030300
5103120013001
65251515200
71240331040
oct322551460
9124836620
1055235376
11291a7179
12165b8b00
13b59c371
14749b720
154cb1086
hex34ad330

55235376 has 120 divisors (see below), whose sum is σ = 181562784. Its totient is φ = 15344640.

The previous prime is 55235371. The next prime is 55235399. The reversal of 55235376 is 67353255.

55235376 is a `hidden beast` number, since 55 + 235 + 376 = 666.

It is a super-2 number, since 2×552353762 = 6101893523722752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 55235376.

It is not an unprimeable number, because it can be changed into a prime (55235371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36556 + ... + 38036.

Almost surely, 255235376 is an apocalyptic number.

55235376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55235376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90781392).

55235376 is an abundant number, since it is smaller than the sum of its proper divisors (126327408).

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

55235376 is a wasteful number, since it uses less digits than its factorization.

55235376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1530 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 55235376 is about 7432.0505918622. The cubic root of 55235376 is about 380.8369732596.

It can be divided in two parts, 55235 and 376, that added together give a triangular number (55611 = T333).

The spelling of 55235376 in words is "fifty-five million, two hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1481 1554 1776 2072 2331 2664 2962 3108 4144 4443 4662 5328 5924 6216 8886 9324 10367 11848 12432 13329 17772 18648 20734 23696 26658 31101 35544 37296 41468 53316 54797 62202 71088 82936 93303 106632 109594 124404 164391 165872 186606 213264 219188 248808 328782 373212 383579 438376 493173 497616 657564 746424 767158 876752 986346 1150737 1315128 1492848 1534316 1972692 2301474 2630256 3068632 3452211 3945384 4602948 6137264 6904422 7890768 9205896 13808844 18411792 27617688 55235376