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53241042400 = 2552713731333
BaseRepresentation
bin110001100101011010…
…011101010111100000
312002102110102011222021
4301211122131113200
51333014201324100
640243020151224
73563235251650
oct614532352740
9162373364867
1053241042400
11206411a9197
12a39a398514
13503637b6b0
142810d60360
1515b919da1a
hexc6569d5e0

53241042400 has 144 divisors (see below), whose sum is σ = 159969073824. Its totient is φ = 16849889280.

The previous prime is 53241042397. The next prime is 53241042403. The reversal of 53241042400 is 424014235.

It is a happy number.

53241042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53241042397) and next prime (53241042403).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53241042403) 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, 292867 + ... + 438466.

It is an arithmetic number, because the mean of its divisors is an integer number (1110896346).

Almost surely, 253241042400 is an apocalyptic number.

53241042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53241042400 is an abundant number, since it is smaller than the sum of its proper divisors (106728031424).

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

53241042400 is a wasteful number, since it uses less digits than its factorization.

53241042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731373 (or 731360 counting only the distinct ones).

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

Adding to 53241042400 its reverse (424014235), we get a palindrome (53665056635).

The spelling of 53241042400 in words is "fifty-three billion, two hundred forty-one million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 175 182 200 208 224 260 280 325 350 364 400 416 455 520 560 650 700 728 800 910 1040 1120 1300 1400 1456 1820 2080 2275 2600 2800 2912 3640 4550 5200 5600 7280 9100 10400 14560 18200 36400 72800 731333 1462666 2925332 3656665 5119331 5850664 7313330 9507329 10238662 11701328 14626660 18283325 19014658 20477324 23402656 25596655 29253320 36566650 38029316 40954648 47536645 51193310 58506640 66551303 73133300 76058632 81909296 95073290 102386620 117013280 127983275 133102606 146266600 152117264 163818592 190146580 204773240 237683225 255966550 266205212 292533200 304234528 332756515 380293160 409546480 475366450 511933100 532410424 585066400 665513030 760586320 819092960 950732900 1023866200 1064820848 1331026060 1521172640 1663782575 1901465800 2047732400 2129641696 2662052120 3327565150 3802931600 4095464800 5324104240 6655130300 7605863200 10648208480 13310260600 26620521200 53241042400