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55404096 = 2631137709
BaseRepresentation
bin1101001101011…
…0011001000000
310212020211010120
43103112121000
5103140412341
65255300240
71241632656
oct323263100
9125224116
1055404096
1129301a10
121667a680
13b62b0b7
147502dd6
154ce6066
hex34d6640

55404096 has 112 divisors (see below), whose sum is σ = 164470080. Its totient is φ = 16312320.

The previous prime is 55404091. The next prime is 55404101. The reversal of 55404096 is 69040455.

It is an interprime number because it is at equal distance from previous prime (55404091) and next prime (55404101).

It is a super-2 number, since 2×554040962 = 6139227707154432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (55404091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77790 + ... + 78498.

Almost surely, 255404096 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 55404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82235040).

55404096 is an abundant number, since it is smaller than the sum of its proper divisors (109065984).

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

55404096 is a wasteful number, since it uses less digits than its factorization.

55404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 55404096 is about 7443.3927748037. The cubic root of 55404096 is about 381.2243427686.

The spelling of 55404096 in words is "fifty-five million, four hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 192 222 264 296 352 407 444 528 592 704 709 814 888 1056 1184 1221 1418 1628 1776 2112 2127 2368 2442 2836 3256 3552 4254 4884 5672 6512 7104 7799 8508 9768 11344 13024 15598 17016 19536 22688 23397 26048 26233 31196 34032 39072 45376 46794 52466 62392 68064 78144 78699 93588 104932 124784 136128 157398 187176 209864 249568 288563 314796 374352 419728 499136 577126 629592 748704 839456 865689 1154252 1259184 1497408 1678912 1731378 2308504 2518368 3462756 4617008 5036736 6925512 9234016 13851024 18468032 27702048 55404096