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553897872 = 243311229509
BaseRepresentation
bin100001000000111…
…100111110010000
31102121020221001000
4201000330332100
52113244212442
6130543542000
716504024413
oct4100747620
91377227030
10553897872
1126472a740
121355ba900
138a9a6728
14537c5b7a
1533962d4c
hex2103cf90

553897872 has 160 divisors (see below), whose sum is σ = 1745424000. Its totient is φ = 166786560.

The previous prime is 553897871. The next prime is 553897879. The reversal of 553897872 is 278798355.

553897872 is a `hidden beast` number, since 553 + 8 + 9 + 7 + 87 + 2 = 666.

It is a super-2 number, since 2×5538978722 = 613605705212256768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553897871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087954 + ... + 1088462.

It is an arithmetic number, because the mean of its divisors is an integer number (10908900).

Almost surely, 2553897872 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 553897872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872712000).

553897872 is an abundant number, since it is smaller than the sum of its proper divisors (1191526128).

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

553897872 is a wasteful number, since it uses less digits than its factorization.

553897872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 754 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 553897872 is about 23535.0349904138. The cubic root of 553897872 is about 821.2522370198.

The spelling of 553897872 in words is "five hundred fifty-three million, eight hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 229 264 297 396 432 458 509 528 594 687 792 916 1018 1188 1374 1527 1584 1832 2036 2061 2376 2519 2748 3054 3664 4072 4122 4581 4752 5038 5496 5599 6108 6183 7557 8144 8244 9162 10076 10992 11198 12216 12366 13743 15114 16488 16797 18324 20152 22396 22671 24432 24732 27486 30228 32976 33594 36648 40304 44792 45342 49464 50391 54972 60456 67188 68013 73296 89584 90684 98928 100782 109944 116561 120912 134376 136026 151173 181368 201564 219888 233122 268752 272052 302346 349683 362736 403128 466244 544104 604692 699366 806256 932488 1049049 1088208 1209384 1282171 1398732 1864976 2098098 2418768 2564342 2797464 3147147 3846513 4196196 5128684 5594928 6294294 7693026 8392392 10257368 11539539 12588588 15386052 16784784 20514736 23079078 25177176 30772104 34618617 46158156 50354352 61544208 69237234 92316312 138474468 184632624 276948936 553897872