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40781300 = 225271723149
BaseRepresentation
bin1001101110010…
…0010111110100
32211201220102112
42123210113310
540420000200
64014030152
71003430630
oct233442764
984656375
1040781300
112102465a
12117a8358
1385ab361
1455b7dc0
1538a8535
hex26e45f4

40781300 has 144 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 12503040.

The previous prime is 40781267. The next prime is 40781311. The reversal of 40781300 is 318704.

It is a happy number.

It is a super-2 number, since 2×407813002 = 3326228859380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 273626 + ... + 273774.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 240781300 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 40781300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

40781300 is an abundant number, since it is smaller than the sum of its proper divisors (71711500).

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

40781300 is a wasteful number, since it uses less digits than its factorization.

40781300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 40781300 is about 6386.0238020227. The cubic root of 40781300 is about 344.2075208111.

The spelling of 40781300 in words is "forty million, seven hundred eighty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 23 25 28 34 35 46 50 68 70 85 92 100 115 119 140 149 161 170 175 230 238 298 322 340 350 391 425 460 476 575 595 596 644 700 745 782 805 850 1043 1150 1190 1490 1564 1610 1700 1955 2086 2300 2380 2533 2737 2975 2980 3220 3427 3725 3910 4025 4172 5066 5215 5474 5950 6854 7450 7820 8050 9775 10132 10430 10948 11900 12665 13685 13708 14900 16100 17135 17731 19550 20860 23989 25330 26075 27370 34270 35462 39100 47978 50660 52150 54740 58259 63325 68425 68540 70924 85675 88655 95956 104300 116518 119945 126650 136850 171350 177310 233036 239890 253300 273700 291295 342700 354620 407813 443275 479780 582590 599725 815626 886550 1165180 1199450 1456475 1631252 1773100 2039065 2398900 2912950 4078130 5825900 8156260 10195325 20390650 40781300