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2945989440 = 26345113657
BaseRepresentation
bin1010111110011000…
…0011101101000000
321121022101202210000
42233212003231000
522013133130230
61204154440000
7133001332332
oct25746035500
97538352700
102945989440
111281a30519
126a2733000
1337c453824
141dd387452
15123975b60
hexaf983b40

2945989440 has 140 divisors (see below), whose sum is σ = 10479494916. Its totient is φ = 785590272.

The previous prime is 2945989393. The next prime is 2945989451. The reversal of 2945989440 is 449895492.

2945989440 is a `hidden beast` number, since 2 + 9 + 4 + 598 + 9 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1853819136 + 1092170304 = 43056^2 + 33048^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30909 + ... + 82748.

Almost surely, 22945989440 is an apocalyptic number.

2945989440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2945989440 is an abundant number, since it is smaller than the sum of its proper divisors (7533505476).

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

2945989440 is a wasteful number, since it uses less digits than its factorization.

2945989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113686 (or 113667 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2945989440 is about 54276.9697017068. The cubic root of 2945989440 is about 1433.5419135193.

The spelling of 2945989440 in words is "two billion, nine hundred forty-five million, nine hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 113657 227314 340971 454628 568285 681942 909256 1022913 1136570 1363884 1704855 1818512 2045826 2273140 2727768 3068739 3409710 3637024 4091652 4546280 5114565 5455536 6137478 6819420 7274048 8183304 9092560 9206217 10229130 10911072 12274956 13638840 15343695 16366608 18185120 18412434 20458260 21822144 24549912 27277680 30687390 32733216 36370240 36824868 40916520 46031085 49099824 54555360 61374780 65466432 73649736 81833040 92062170 98199648 109110720 122749560 147299472 163666080 184124340 196399296 245499120 294598944 327332160 368248680 490998240 589197888 736497360 981996480 1472994720 2945989440