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552359680 = 28537107109
BaseRepresentation
bin100000111011000…
…101011100000000
31102111100210000221
4200323011130000
52112401002210
6130450552424
716454660035
oct4073053400
91374323027
10552359680
1126387a004
12134b98714
138a588562
145350538c
153375c1da
hex20ec5700

552359680 has 144 divisors (see below), whose sum is σ = 1384115040. Its totient is φ = 211009536.

The previous prime is 552359677. The next prime is 552359713. The reversal of 552359680 is 86953255.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5067466 + ... + 5067574.

It is an arithmetic number, because the mean of its divisors is an integer number (9611910).

Almost surely, 2552359680 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 552359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692057520).

552359680 is an abundant number, since it is smaller than the sum of its proper divisors (831755360).

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

552359680 is a wasteful number, since it uses less digits than its factorization.

552359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 43.

The square root of 552359680 is about 23502.3335011654. Note that the first 3 decimals coincide. The cubic root of 552359680 is about 820.4913176950.

The spelling of 552359680 in words is "five hundred fifty-two million, three hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 107 109 128 148 160 185 214 218 256 296 320 370 428 436 535 545 592 640 740 856 872 1070 1090 1184 1280 1480 1712 1744 2140 2180 2368 2960 3424 3488 3959 4033 4280 4360 4736 5920 6848 6976 7918 8066 8560 8720 9472 11663 11840 13696 13952 15836 16132 17120 17440 19795 20165 23326 23680 27392 27904 31672 32264 34240 34880 39590 40330 46652 47360 58315 63344 64528 68480 69760 79180 80660 93304 116630 126688 129056 136960 139520 158360 161320 186608 233260 253376 258112 316720 322640 373216 431531 466520 506752 516224 633440 645280 746432 863062 933040 1013504 1032448 1266880 1290560 1492864 1726124 1866080 2157655 2533760 2581120 2985728 3452248 3732160 4315310 5067520 5162240 6904496 7464320 8630620 13808992 14928640 17261240 27617984 34522480 55235968 69044960 110471936 138089920 276179840 552359680