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5374557440 = 28571015939
BaseRepresentation
bin1010000000101100…
…10011110100000000
3111212120011210202222
411000112103310000
542001341314230
62245151230212
7250120661450
oct50026236400
914776153688
105374557440
11230888560a
12105bb18368
13678632705
1438db21d60
15216c916e5
hex140593d00

5374557440 has 144 divisors (see below), whose sum is σ = 14861024640. Its totient is φ = 1824153600.

The previous prime is 5374557437. The next prime is 5374557469. The reversal of 5374557440 is 447554735.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5374557391 and 5374557400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901991 + ... + 907929.

It is an arithmetic number, because the mean of its divisors is an integer number (103201560).

Almost surely, 25374557440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5374557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430512320).

5374557440 is an abundant number, since it is smaller than the sum of its proper divisors (9486467200).

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

5374557440 is a wasteful number, since it uses less digits than its factorization.

5374557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6068 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 44.

The square root of 5374557440 is about 73311.3731967967. The cubic root of 5374557440 is about 1751.6509524755.

The spelling of 5374557440 in words is "five billion, three hundred seventy-four million, five hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 128 140 160 202 224 256 280 320 404 448 505 560 640 707 808 896 1010 1120 1280 1414 1616 1792 2020 2240 2828 3232 3535 4040 4480 5656 5939 6464 7070 8080 8960 11312 11878 12928 14140 16160 22624 23756 25856 28280 29695 32320 41573 45248 47512 56560 59390 64640 83146 90496 95024 113120 118780 129280 166292 180992 190048 207865 226240 237560 332584 380096 415730 452480 475120 599839 665168 760192 831460 904960 950240 1199678 1330336 1520384 1662920 1900480 2399356 2660672 2999195 3325840 3800960 4198873 4798712 5321344 5998390 6651680 7601920 8397746 9597424 10642688 11996780 13303360 16795492 19194848 20994365 23993560 26606720 33590984 38389696 41988730 47987120 53213440 67181968 76779392 83977460 95974240 134363936 153558784 167954920 191948480 268727872 335909840 383896960 537455744 671819680 767793920 1074911488 1343639360 2687278720 5374557440