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55528416 = 253537193
BaseRepresentation
bin1101001111010…
…0101111100000
310212111010200000
43103310233200
5103203402131
65302100000
71242661266
oct323645740
9125433600
1055528416
1129387359
121671a600
13b672868
147536436
154d1cce6
hex34f4be0

55528416 has 144 divisors (see below), whose sum is σ = 169054704. Its totient is φ = 17915904.

The previous prime is 55528387. The next prime is 55528441. The reversal of 55528416 is 61482555.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287616 + ... + 287808.

It is an arithmetic number, because the mean of its divisors is an integer number (1173991).

Almost surely, 255528416 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 55528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84527352).

55528416 is an abundant number, since it is smaller than the sum of its proper divisors (113526288).

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

55528416 is a wasteful number, since it uses less digits than its factorization.

55528416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 55528416 is about 7451.7391258685. The cubic root of 55528416 is about 381.5092699924.

The spelling of 55528416 in words is "fifty-five million, five hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 193 216 222 243 288 296 324 333 386 432 444 486 579 592 648 666 772 864 888 972 999 1158 1184 1296 1332 1544 1737 1776 1944 1998 2316 2592 2664 2997 3088 3474 3552 3888 3996 4632 5211 5328 5994 6176 6948 7141 7776 7992 8991 9264 10422 10656 11988 13896 14282 15633 15984 17982 18528 20844 21423 23976 27792 28564 31266 31968 35964 41688 42846 46899 47952 55584 57128 62532 64269 71928 83376 85692 93798 95904 114256 125064 128538 143856 166752 171384 187596 192807 228512 250128 257076 287712 342768 375192 385614 500256 514152 578421 685536 750384 771228 1028304 1156842 1500768 1542456 1735263 2056608 2313684 3084912 3470526 4627368 6169824 6941052 9254736 13882104 18509472 27764208 55528416