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40799100 = 223523141107
BaseRepresentation
bin1001101110100…
…0101101111100
32211202210211210
42123220231330
540421032400
64014244420
71003533546
oct233505574
984683753
1040799100
1121036a71
12117b6710
1385b64a4
1455c0696
1538ad950
hex26e8b7c

40799100 has 144 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 10176000.

The previous prime is 40799081. The next prime is 40799117. The reversal of 40799100 is 199704.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381247 + ... + 381353.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 240799100 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 40799100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

40799100 is an abundant number, since it is smaller than the sum of its proper divisors (85192836).

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

40799100 is a wasteful number, since it uses less digits than its factorization.

40799100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 40799100 is about 6387.4173184473. The cubic root of 40799100 is about 344.2575928022.

The spelling of 40799100 in words is "forty million, seven hundred ninety-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 41 50 60 62 75 82 93 100 107 123 124 150 155 164 186 205 214 246 300 310 321 372 410 428 465 492 535 615 620 642 775 820 930 1025 1070 1230 1271 1284 1550 1605 1860 2050 2140 2325 2460 2542 2675 3075 3100 3210 3317 3813 4100 4387 4650 5084 5350 6150 6355 6420 6634 7626 8025 8774 9300 9951 10700 12300 12710 13161 13268 15252 16050 16585 17548 19065 19902 21935 25420 26322 31775 32100 33170 38130 39804 43870 49755 52644 63550 65805 66340 76260 82925 87740 95325 99510 109675 127100 131610 135997 165850 190650 199020 219350 248775 263220 271994 329025 331700 381300 407991 438700 497550 543988 658050 679985 815982 995100 1316100 1359970 1631964 2039955 2719940 3399925 4079910 6799850 8159820 10199775 13599700 20399550 40799100