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55407456 = 2533134933
BaseRepresentation
bin1101001101011…
…1001101100000
310212020222202000
43103113031200
5103141014311
65255324000
71241645526
oct323271540
9125228660
1055407456
1129304495
1216680600
13b62c7a0
147504316
154ce7056
hex34d7360

55407456 has 96 divisors (see below), whose sum is σ = 174071520. Its totient is φ = 17044992.

The previous prime is 55407413. The next prime is 55407503. The reversal of 55407456 is 65470455.

It is a happy number.

55407456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 55407456.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8766 + ... + 13698.

It is an arithmetic number, because the mean of its divisors is an integer number (1813245).

Almost surely, 255407456 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 55407456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87035760).

55407456 is an abundant number, since it is smaller than the sum of its proper divisors (118664064).

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

55407456 is a wasteful number, since it uses less digits than its factorization.

55407456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 55407456 is about 7443.6184749086. The cubic root of 55407456 is about 381.2320491055.

It can be divided in two parts, 5540 and 7456, that added together give a square (12996 = 1142).

The spelling of 55407456 in words is "fifty-five million, four hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 4933 5616 9866 11232 14799 19732 29598 39464 44397 59196 64129 78928 88794 118392 128258 133191 157856 177588 192387 236784 256516 266382 355176 384774 473568 513032 532764 577161 710352 769548 1026064 1065528 1154322 1420704 1539096 1731483 2052128 2131056 2308644 3078192 3462966 4262112 4617288 6156384 6925932 9234576 13851864 18469152 27703728 55407456