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553844640 = 253511310211
BaseRepresentation
bin100001000000101…
…111111110100000
31102121011020000110
4201000233332200
52113241012030
6130542451320
716503413256
oct4100577640
91377136013
10553844640
112646a3748
12135593b40
138a98842b
14537b05d6
15339521b0
hex2102ffa0

553844640 has 96 divisors (see below), whose sum is σ = 1760222016. Its totient is φ = 146370560.

The previous prime is 553844617. The next prime is 553844651. The reversal of 553844640 is 46448355.

553844640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49135 + ... + 59345.

It is an arithmetic number, because the mean of its divisors is an integer number (18335646).

Almost surely, 2553844640 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 553844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880111008).

553844640 is an abundant number, since it is smaller than the sum of its proper divisors (1206377376).

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

553844640 is a wasteful number, since it uses less digits than its factorization.

553844640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 553844640 is about 23533.9040535139. The cubic root of 553844640 is about 821.2259275370.

The spelling of 553844640 in words is "five hundred fifty-three million, eight hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 4520 5424 6780 9040 10211 10848 13560 18080 20422 27120 30633 40844 51055 54240 61266 81688 102110 122532 153165 163376 204220 245064 306330 326752 408440 490128 612660 816880 980256 1153843 1225320 1633760 2307686 2450640 3461529 4615372 4901280 5769215 6923058 9230744 11538430 13846116 17307645 18461488 23076860 27692232 34615290 36922976 46153720 55384464 69230580 92307440 110768928 138461160 184614880 276922320 553844640