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552977920 = 2951173269
BaseRepresentation
bin100000111101011…
…100011000000000
31102112112012002201
4200331130120000
52113030243140
6130512122544
716463143345
oct4075343000
91375465081
10552977920
11264161550
12135236454
138a743a91
14536267cc
153383049a
hex20f5c600

552977920 has 160 divisors (see below), whose sum is σ = 1471646880. Its totient is φ = 197591040.

The previous prime is 552977899. The next prime is 552977941. The reversal of 552977920 is 29779255.

It is an interprime number because it is at equal distance from previous prime (552977899) and next prime (552977941).

It is a tau number, because it is divible by the number of its divisors (160).

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, 2055546 + ... + 2055814.

It is an arithmetic number, because the mean of its divisors is an integer number (9197793).

Almost surely, 2552977920 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 552977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735823440).

552977920 is an abundant number, since it is smaller than the sum of its proper divisors (918668960).

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

552977920 is a wasteful number, since it uses less digits than its factorization.

552977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 552977920 is about 23515.4825593693. The cubic root of 552977920 is about 820.7973208510.

It can be divided in two parts, 5 and 52977920, that added together give a palindrome (52977925).

The spelling of 552977920 in words is "five hundred fifty-two million, nine hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 128 146 160 176 220 256 269 292 320 352 365 440 512 538 584 640 704 730 803 880 1076 1168 1280 1345 1408 1460 1606 1760 2152 2336 2560 2690 2816 2920 2959 3212 3520 4015 4304 4672 5380 5632 5840 5918 6424 7040 8030 8608 9344 10760 11680 11836 12848 14080 14795 16060 17216 18688 19637 21520 23360 23672 25696 28160 29590 32120 34432 37376 39274 43040 46720 47344 51392 59180 64240 68864 78548 86080 93440 94688 98185 102784 118360 128480 137728 157096 172160 186880 189376 196370 205568 216007 236720 256960 314192 344320 378752 392740 411136 432014 473440 513920 628384 688640 757504 785480 864028 946880 1027840 1080035 1256768 1515008 1570960 1728056 1893760 2055680 2160070 2513536 3141920 3456112 3787520 4320140 5027072 6283840 6912224 7575040 8640280 10054144 12567680 13824448 17280560 25135360 27648896 34561120 50270720 55297792 69122240 110595584 138244480 276488960 552977920