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554640640 = 2851771359
BaseRepresentation
bin100001000011110…
…010010100000000
31102122122122220221
4201003302110000
52113442000030
6131011512424
716513240051
oct4103622400
91378578827
10554640640
112650977a4
121358b8714
138aba6838
145393a728
1533a5ce7a
hex210f2500

554640640 has 144 divisors (see below), whose sum is σ = 1430472960. Its totient is φ = 205291520.

The previous prime is 554640587. The next prime is 554640643. The reversal of 554640640 is 46046455.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 554640596 and 554640605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554640643) 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, 1544781 + ... + 1545139.

It is an arithmetic number, because the mean of its divisors is an integer number (9933840).

Almost surely, 2554640640 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 554640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715236480).

554640640 is an abundant number, since it is smaller than the sum of its proper divisors (875832320).

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

554640640 is a wasteful number, since it uses less digits than its factorization.

554640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 554640640 is about 23550.8097525329. The cubic root of 554640640 is about 821.6191683314.

The spelling of 554640640 in words is "five hundred fifty-four million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 71 80 85 128 136 142 160 170 256 272 284 320 340 355 359 544 568 640 680 710 718 1088 1136 1207 1280 1360 1420 1436 1795 2176 2272 2414 2720 2840 2872 3590 4352 4544 4828 5440 5680 5744 6035 6103 7180 9088 9656 10880 11360 11488 12070 12206 14360 18176 19312 21760 22720 22976 24140 24412 25489 28720 30515 38624 45440 45952 48280 48824 50978 57440 61030 77248 90880 91904 96560 97648 101956 114880 122060 127445 154496 193120 195296 203912 229760 244120 254890 308992 386240 390592 407824 433313 459520 488240 509780 772480 781184 815648 866626 976480 1019560 1544960 1562368 1631296 1733252 1952960 2039120 2166565 3262592 3466504 3905920 4078240 4333130 6525184 6933008 7811840 8156480 8666260 13866016 16312960 17332520 27732032 32625920 34665040 55464064 69330080 110928128 138660160 277320320 554640640