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2426990080 = 29519411217
BaseRepresentation
bin1001000010101000…
…1110111000000000
320021010210212111111
42100222032320000
514432302140310
61040454453104
7114100034554
oct22052167000
96233725444
102426990080
111035a77629
12578964194
132c8a78908
14190487864
15e310828a
hex90a8ee00

2426990080 has 160 divisors (see below), whose sum is σ = 6279910560. Its totient is φ = 896532480.

The previous prime is 2426990063. The next prime is 2426990101. The reversal of 2426990080 is 800996242.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1993632 + ... + 1994848.

It is an arithmetic number, because the mean of its divisors is an integer number (39249441).

Almost surely, 22426990080 is an apocalyptic number.

2426990080 is a gapful number since it is divisible by the number (20) 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 2426990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139955280).

2426990080 is an abundant number, since it is smaller than the sum of its proper divisors (3852920480).

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

2426990080 is a wasteful number, since it uses less digits than its factorization.

2426990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 2426990080 is about 49264.4910660813. The cubic root of 2426990080 is about 1343.8661053310.

The spelling of 2426990080 in words is "two billion, four hundred twenty-six million, nine hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 128 152 160 164 190 205 256 304 320 328 380 410 512 608 640 656 760 779 820 1216 1217 1280 1312 1520 1558 1640 2432 2434 2560 2624 3040 3116 3280 3895 4864 4868 5248 6080 6085 6232 6560 7790 9728 9736 10496 12160 12170 12464 13120 15580 19472 20992 23123 24320 24340 24928 26240 31160 38944 46246 48640 48680 49856 49897 52480 62320 77888 92492 97360 99712 99794 104960 115615 124640 155776 184984 194720 199424 199588 231230 249280 249485 311552 369968 389440 398848 399176 462460 498560 498970 623104 739936 778880 798352 924920 948043 997120 997940 1479872 1557760 1596704 1849840 1896086 1994240 1995880 2959744 3115520 3193408 3699680 3792172 3991760 4740215 5919488 6386816 7399360 7584344 7983520 9480430 11838976 12773632 14798720 15168688 15967040 18960860 25547264 29597440 30337376 31934080 37921720 59194880 60674752 63868160 75843440 121349504 127736320 151686880 242699008 303373760 485398016 606747520 1213495040 2426990080