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40557440 = 275711823
BaseRepresentation
bin1001101010110…
…1101110000000
32211022112100102
42122231232000
540340314230
64005141532
71001506160
oct232555600
984275312
1040557440
1120991450
12116ba8a8
1385304b1
14555a5a0
153862045
hex26adb80

40557440 has 128 divisors (see below), whose sum is σ = 121029120. Its totient is φ = 12625920.

The previous prime is 40557403. The next prime is 40557443. The reversal of 40557440 is 4475504.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40557443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48869 + ... + 49691.

It is an arithmetic number, because the mean of its divisors is an integer number (945540).

Almost surely, 240557440 is an apocalyptic number.

40557440 is a gapful number since it is divisible by the number (40) 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 40557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60514560).

40557440 is an abundant number, since it is smaller than the sum of its proper divisors (80471680).

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

40557440 is a wasteful number, since it uses less digits than its factorization.

40557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 40557440 is about 6368.4723442911. The cubic root of 40557440 is about 343.5765476441.

The spelling of 40557440 in words is "forty million, five hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 823 880 896 1120 1232 1408 1540 1646 1760 2240 2464 3080 3292 3520 4115 4480 4928 5761 6160 6584 7040 8230 9053 9856 11522 12320 13168 16460 18106 23044 24640 26336 28805 32920 36212 45265 46088 49280 52672 57610 63371 65840 72424 90530 92176 105344 115220 126742 131680 144848 181060 184352 230440 253484 263360 289696 316855 362120 368704 460880 506968 526720 579392 633710 724240 737408 921760 1013936 1158784 1267420 1448480 1843520 2027872 2534840 2896960 3687040 4055744 5069680 5793920 8111488 10139360 20278720 40557440