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42403400 = 23521347347
BaseRepresentation
bin1010000111000…
…0011001001000
32221210022112022
42201300121020
541323402100
64112504012
71023265034
oct241603110
987708468
1042403400
1121a32336
121224b008
138a28790
1458bb1c4
153ac8e85
hex2870648

42403400 has 96 divisors (see below), whose sum is σ = 108743040. Its totient is φ = 15279360.

The previous prime is 42403399. The next prime is 42403409. The reversal of 42403400 is 430424.

It is not an unprimeable number, because it can be changed into a prime (42403409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122027 + ... + 122373.

It is an arithmetic number, because the mean of its divisors is an integer number (1132740).

Almost surely, 242403400 is an apocalyptic number.

42403400 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 42403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371520).

42403400 is an abundant number, since it is smaller than the sum of its proper divisors (66339640).

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

42403400 is a wasteful number, since it uses less digits than its factorization.

42403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 42403400 is about 6511.7893086309. The cubic root of 42403400 is about 348.7120006730.

Adding to 42403400 its reverse (430424), we get a palindrome (42833824).

The spelling of 42403400 in words is "forty-two million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 47 50 52 65 94 100 104 130 188 200 235 260 325 347 376 470 520 611 650 694 940 1175 1222 1300 1388 1735 1880 2350 2444 2600 2776 3055 3470 4511 4700 4888 6110 6940 8675 9022 9400 12220 13880 15275 16309 17350 18044 22555 24440 30550 32618 34700 36088 45110 61100 65236 69400 81545 90220 112775 122200 130472 163090 180440 212017 225550 326180 407725 424034 451100 652360 815450 848068 902200 1060085 1630900 1696136 2120170 3261800 4240340 5300425 8480680 10600850 21201700 42403400