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4893089280 = 29352712351
BaseRepresentation
bin1001000111010011…
…01001111000000000
3110122000012200121220
410203221221320000
540010112324110
62125311515040
7232153400262
oct44351517000
913560180556
104893089280
112091026442
12b46828a80
135cc968701
14345bd1b32
151d9889370
hex123a69e00

4893089280 has 160 divisors (see below), whose sum is σ = 15706994688. Its totient is φ = 1299456000.

The previous prime is 4893089273. The next prime is 4893089291. The reversal of 4893089280 is 829803984.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2080105 + ... + 2082455.

Almost surely, 24893089280 is an apocalyptic number.

4893089280 is a gapful number since it is divisible by the number (40) 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 4893089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853497344).

4893089280 is an abundant number, since it is smaller than the sum of its proper divisors (10813905408).

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

4893089280 is a wasteful number, since it uses less digits than its factorization.

4893089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 4893089280 is about 69950.6202974641. The cubic root of 4893089280 is about 1697.7003831776.

The spelling of 4893089280 in words is "four billion, eight hundred ninety-three million, eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 271 320 384 480 512 542 640 768 813 960 1084 1280 1355 1536 1626 1920 2168 2351 2560 2710 3252 3840 4065 4336 4702 5420 6504 7053 7680 8130 8672 9404 10840 11755 13008 14106 16260 17344 18808 21680 23510 26016 28212 32520 34688 35265 37616 43360 47020 52032 56424 65040 69376 70530 75232 86720 94040 104064 112848 130080 138752 141060 150464 173440 188080 208128 225696 260160 282120 300928 346880 376160 416256 451392 520320 564240 601856 637121 693760 752320 902784 1040640 1128480 1203712 1274242 1504640 1805568 1911363 2081280 2256960 2548484 3009280 3185605 3611136 3822726 4513920 5096968 6018560 6371210 7645452 9027840 9556815 10193936 12742420 15290904 18055680 19113630 20387872 25484840 30581808 38227260 40775744 50969680 61163616 76454520 81551488 101939360 122327232 152909040 163102976 203878720 244654464 305818080 326205952 407757440 489308928 611636160 815514880 978617856 1223272320 1631029760 2446544640 4893089280