Search a number
-
+
552338976 = 25372176907
BaseRepresentation
bin100000111011000…
…000011000100000
31102111022201122010
4200323000120200
52112344321401
6130450312520
716454542500
oct4073003040
91374281563
10552338976
112638654a2
12134b88740
138a57bcc7
14534dba00
1533755ed6
hex20ec0620

552338976 has 144 divisors (see below), whose sum is σ = 1786077216. Its totient is φ = 148506624.

The previous prime is 552338933. The next prime is 552338981. The reversal of 552338976 is 679833255.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76515 + ... + 83421.

It is an arithmetic number, because the mean of its divisors is an integer number (12403314).

Almost surely, 2552338976 is an apocalyptic number.

552338976 is a gapful number since it is divisible by the number (56) 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 552338976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893038608).

552338976 is an abundant number, since it is smaller than the sum of its proper divisors (1233738240).

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

552338976 is a wasteful number, since it uses less digits than its factorization.

552338976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6936 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 552338976 is about 23501.8930301370. The cubic root of 552338976 is about 820.4810661234.

The spelling of 552338976 in words is "five hundred fifty-two million, three hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1904 2352 2499 2856 3332 3808 4704 4998 5712 6664 6907 9996 11424 13328 13814 19992 20721 26656 27628 39984 41442 48349 55256 79968 82884 96698 110512 117419 145047 165768 193396 221024 234838 290094 331536 338443 352257 386792 469676 580188 663072 676886 704514 773584 821933 939352 1015329 1160376 1353772 1409028 1547168 1643866 1878704 2030658 2320752 2465799 2707544 2818056 3287732 3757408 4061316 4641504 4931598 5415088 5636112 5753531 6575464 8122632 9863196 10830176 11272224 11507062 13150928 16245264 17260593 19726392 23014124 26301856 32490528 34521186 39452784 46028248 69042372 78905568 92056496 138084744 184112992 276169488 552338976