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2926139300 = 2252773173331
BaseRepresentation
bin1010111001101001…
…0101011110100100
321112221001021111122
42232122111132210
521443042424200
61202205153112
7132340526240
oct25632253644
97487037448
102926139300
111271802847
12697b5b798
133782c3696
141da89b420
15121d54385
hexae6957a4

2926139300 has 144 divisors (see below), whose sum is σ = 7421108352. Its totient is φ = 980812800.

The previous prime is 2926139287. The next prime is 2926139311. The reversal of 2926139300 is 39316292.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8840135 + ... + 8840465.

Almost surely, 22926139300 is an apocalyptic number.

2926139300 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 2926139300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710554176).

2926139300 is an abundant number, since it is smaller than the sum of its proper divisors (4494969052).

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

2926139300 is a wasteful number, since it uses less digits than its factorization.

2926139300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 2926139300 is about 54093.8009387397. The cubic root of 2926139300 is about 1430.3149093743.

It can be divided in two parts, 292 and 6139300, that multiplied together give a square (1792675600 = 423402).

The spelling of 2926139300 in words is "two billion, nine hundred twenty-six million, one hundred thirty-nine thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 173 175 292 331 346 350 365 511 662 692 700 730 865 1022 1211 1324 1460 1655 1730 1825 2044 2317 2422 2555 3310 3460 3650 4325 4634 4844 5110 6055 6620 7300 8275 8650 9268 10220 11585 12110 12629 12775 16550 17300 23170 24163 24220 25258 25550 30275 33100 46340 48326 50516 51100 57263 57925 60550 63145 88403 96652 114526 115850 120815 121100 126290 169141 176806 229052 231700 241630 252580 286315 315725 338282 353612 400841 442015 483260 572630 604075 631450 676564 801682 845705 884030 1145260 1208150 1262900 1431575 1603364 1691410 1768060 2004205 2210075 2416300 2863150 3382820 4008410 4180199 4228525 4420150 5726300 8016820 8360398 8457050 8840300 10021025 16720796 16914100 20042050 20900995 29261393 40084100 41801990 58522786 83603980 104504975 117045572 146306965 209009950 292613930 418019900 585227860 731534825 1463069650 2926139300