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553339072 = 261113103587
BaseRepresentation
bin100000111110110…
…100100011000000
31102120012112111201
4200332310203000
52113123322242
6130523550544
716466206306
oct4076644300
91376175451
10553339072
11264388920
1213538b454
138a83c290
14536bc276
15338a24b7
hex20fb48c0

553339072 has 112 divisors (see below), whose sum is σ = 1304739072. Its totient is φ = 229524480.

The previous prime is 553339063. The next prime is 553339079. The reversal of 553339072 is 270933355.

It is not an unprimeable number, because it can be changed into a prime (553339079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942363 + ... + 942949.

It is an arithmetic number, because the mean of its divisors is an integer number (11649456).

Almost surely, 2553339072 is an apocalyptic number.

553339072 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 553339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652369536).

553339072 is an abundant number, since it is smaller than the sum of its proper divisors (751400000).

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

553339072 is a wasteful number, since it uses less digits than its factorization.

553339072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 37.

The square root of 553339072 is about 23523.1603318942. The cubic root of 553339072 is about 820.9759705902.

The spelling of 553339072 in words is "five hundred fifty-three million, three hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 103 104 143 176 206 208 286 352 412 416 572 587 704 824 832 1133 1144 1174 1339 1648 2266 2288 2348 2678 3296 4532 4576 4696 5356 6457 6592 7631 9064 9152 9392 10712 12914 14729 15262 18128 18784 21424 25828 29458 30524 36256 37568 42848 51656 58916 60461 61048 72512 83941 85696 103312 117832 120922 122096 167882 206624 235664 241844 244192 335764 413248 471328 483688 488384 665071 671528 785993 942656 967376 1330142 1343056 1571986 1934752 2660284 2686112 3143972 3869504 5320568 5372224 6287944 8645923 10641136 12575888 17291846 21282272 25151776 34583692 42564544 50303552 69167384 138334768 276669536 553339072