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52440123400 = 23527241130513
BaseRepresentation
bin110000110101101011…
…001100100000001000
312000100122100021122121
4300311223030200020
51324344132422100
640031325501024
73534341460100
oct606553144010
9160318307577
1052440123400
112027009a965
12a1b6111774
134c39466422
142776836200
15156dbe451a
hexc35acc808

52440123400 has 144 divisors (see below), whose sum is σ = 145289489940. Its totient is φ = 17540812800.

The previous prime is 52440123391. The next prime is 52440123401. The reversal of 52440123400 is 432104425.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11282263524 + 41157859876 = 106218^2 + 202874^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52440123401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336544 + ... + 467056.

Almost surely, 252440123400 is an apocalyptic number.

52440123400 is a gapful number since it is divisible by the number (50) 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 52440123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72644744970).

52440123400 is an abundant number, since it is smaller than the sum of its proper divisors (92849366540).

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

52440123400 is a wasteful number, since it uses less digits than its factorization.

52440123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130584 (or 130568 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 52440123400 its reverse (432104425), we get a palindrome (52872227825).

The spelling of 52440123400 in words is "fifty-two billion, four hundred forty million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 49 50 56 70 82 98 100 140 164 175 196 200 205 245 280 287 328 350 392 410 490 574 700 820 980 1025 1148 1225 1400 1435 1640 1960 2009 2050 2296 2450 2870 4018 4100 4900 5740 7175 8036 8200 9800 10045 11480 14350 16072 20090 28700 40180 50225 57400 80360 100450 130513 200900 261026 401800 522052 652565 913591 1044104 1305130 1827182 2610260 3262825 3654364 4567955 5220520 5351033 6395137 6525650 7308728 9135910 10702066 12790274 13051300 18271820 21404132 22839775 25580548 26102600 26755165 31975685 36543640 37457231 42808264 45679550 51161096 53510330 63951370 74914462 91359100 107020660 127902740 133775825 149828924 159878425 182718200 187286155 214041320 255805480 262200617 267551650 299657848 319756850 374572310 524401234 535103300 639513700 749144620 936430775 1048802468 1070206600 1279027400 1311003085 1498289240 1872861550 2097604936 2622006170 3745723100 5244012340 6555015425 7491446200 10488024680 13110030850 26220061700 52440123400