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55058432 = 213111347
BaseRepresentation
bin1101001000001…
…0000000000000
310211121020222012
43102002000000
5103043332212
65244032052
71235663132
oct322020000
9124536865
1055058432
1129096240
1216532628
13b539970
147453052
154c78922
hex3482000

55058432 has 112 divisors (see below), whose sum is σ = 132112512. Its totient is φ = 22609920.

The previous prime is 55058429. The next prime is 55058453. The reversal of 55058432 is 23485055.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171433 + ... + 1171479.

It is an arithmetic number, because the mean of its divisors is an integer number (1179576).

Almost surely, 255058432 is an apocalyptic number.

55058432 is a gapful number since it is divisible by the number (52) 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 55058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66056256).

55058432 is an abundant number, since it is smaller than the sum of its proper divisors (77054080).

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

55058432 is a wasteful number, since it uses less digits than its factorization.

55058432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 55058432 is about 7420.1369259603. The cubic root of 55058432 is about 380.4298736344.

The spelling of 55058432 in words is "fifty-five million, fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 64 88 94 104 128 143 176 188 208 256 286 352 376 416 512 517 572 611 704 752 832 1024 1034 1144 1222 1408 1504 1664 2048 2068 2288 2444 2816 3008 3328 4096 4136 4576 4888 5632 6016 6656 6721 8192 8272 9152 9776 11264 12032 13312 13442 16544 18304 19552 22528 24064 26624 26884 33088 36608 39104 45056 48128 53248 53768 66176 73216 78208 90112 96256 106496 107536 132352 146432 156416 192512 215072 264704 292864 312832 385024 430144 529408 585728 625664 860288 1058816 1171456 1251328 1720576 2117632 2502656 3441152 4235264 5005312 6882304 13764608 27529216 55058432