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55957472 = 2517293547
BaseRepresentation
bin1101010101110…
…1011111100000
310220021221012222
43111131133200
5103311114342
65315210212
71246426214
oct325353740
9126257188
1055957472
112964a74a
12168a6968
13b792c3c
147608944
154da4ed2
hex355d7e0

55957472 has 48 divisors (see below), whose sum is σ = 120702960. Its totient is φ = 25417728.

The previous prime is 55957471. The next prime is 55957477. The reversal of 55957472 is 27475955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55957471) 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, 14003 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (2514645).

Almost surely, 255957472 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 55957472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60351480).

55957472 is an abundant number, since it is smaller than the sum of its proper divisors (64745488).

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

55957472 is a wasteful number, since it uses less digits than its factorization.

55957472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3595 counting only the distinct ones).

The product of its digits is 441000, while the sum is 44.

The square root of 55957472 is about 7480.4727123358. The cubic root of 55957472 is about 382.4893630545.

The spelling of 55957472 in words is "fifty-five million, nine hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3547 3944 7094 7888 14188 15776 28376 56752 60299 102863 113504 120598 205726 241196 411452 482392 822904 964784 1645808 1748671 1929568 3291616 3497342 6994684 13989368 27978736 55957472