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55469952 = 2732179269
BaseRepresentation
bin1101001110011…
…0011110000000
310212101011110200
43103212132000
5103200014302
65300525200
71242325656
oct323463600
9125334420
1055469952
112934743a
12166b0800
13b652075
14751cdd6
154d0a81c
hex34e6780

55469952 has 96 divisors (see below), whose sum is σ = 161109000. Its totient is φ = 18318336.

The previous prime is 55469941. The next prime is 55469969. The reversal of 55469952 is 25996455.

It is a happy number.

55469952 is a `hidden beast` number, since 554 + 6 + 9 + 95 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55469898 and 55469907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206074 + ... + 206342.

Almost surely, 255469952 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 55469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80554500).

55469952 is an abundant number, since it is smaller than the sum of its proper divisors (105639048).

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

55469952 is a wasteful number, since it uses less digits than its factorization.

55469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 55469952 is about 7447.8152501254. The cubic root of 55469952 is about 381.3753302185.

The spelling of 55469952 in words is "fifty-five million, four hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 269 288 358 384 537 538 576 716 807 1074 1076 1152 1432 1611 1614 2148 2152 2421 2864 3222 3228 4296 4304 4842 5728 6444 6456 8592 8608 9684 11456 12888 12912 17184 17216 19368 22912 25776 25824 34368 34432 38736 48151 51552 51648 68736 77472 96302 103104 103296 144453 154944 192604 206208 288906 309888 385208 433359 577812 770416 866718 1155624 1540832 1733436 2311248 3081664 3466872 4622496 6163328 6933744 9244992 13867488 18489984 27734976 55469952