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4240347552 = 253273735639
BaseRepresentation
bin1111110010111110…
…1001000110100000
3101221111221222022100
43330233221012200
532141012110202
61540433210400
7210036234210
oct37457510640
911844858270
104240347552
111886624971
129a4100a00
135276647bc
142c323a240
1519c3ee41c
hexfcbe91a0

4240347552 has 144 divisors (see below), whose sum is σ = 13820526720. Its totient is φ = 1208065536.

The previous prime is 4240347547. The next prime is 4240347563. The reversal of 4240347552 is 2557430424.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749149 + ... + 754787.

It is an arithmetic number, because the mean of its divisors is an integer number (95975880).

Almost surely, 24240347552 is an apocalyptic number.

4240347552 is a gapful number since it is divisible by the number (42) 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 4240347552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910263360).

4240347552 is an abundant number, since it is smaller than the sum of its proper divisors (9580179168).

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

4240347552 is a wasteful number, since it uses less digits than its factorization.

4240347552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6035 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 4240347552 is about 65117.9510734175. The cubic root of 4240347552 is about 1618.5786893600.

Adding to 4240347552 its reverse (2557430424), we get a palindrome (6797777976).

The spelling of 4240347552 in words is "four billion, two hundred forty million, three hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 373 504 672 746 1008 1119 1492 2016 2238 2611 2984 3357 4476 5222 5639 5968 6714 7833 8952 10444 11278 11936 13428 15666 16917 17904 20888 22556 23499 26856 31332 33834 35808 39473 41776 45112 46998 50751 53712 62664 67668 78946 83552 90224 93996 101502 107424 118419 125328 135336 157892 180448 187992 203004 236838 250656 270672 315784 355257 375984 406008 473676 541344 631568 710514 751968 812016 947352 1263136 1421028 1624032 1894704 2103347 2842056 3789408 4206694 5684112 6310041 8413388 11368224 12620082 14723429 16826776 18930123 25240164 29446858 33653552 37860246 44170287 50480328 58893716 67307104 75720492 88340574 100960656 117787432 132510861 151440984 176681148 201921312 235574864 265021722 302881968 353362296 471149728 530043444 605763936 706724592 1060086888 1413449184 2120173776 4240347552