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5256962640 = 243353178509
BaseRepresentation
bin1001110010101011…
…01110001001010000
3111120100220101001000
410321111232021100
541231240301030
62225350542000
7244162305456
oct47125561120
914510811030
105256962640
112258466926
121028667900
1365a16b4a7
1437c2709d6
1520b7b3860
hex13956e250

5256962640 has 160 divisors (see below), whose sum is σ = 18691660800. Its totient is φ = 1356618240.

The previous prime is 5256962611. The next prime is 5256962677. The reversal of 5256962640 is 462696525.

It is a happy number.

5256962640 is a `hidden beast` number, since 525 + 6 + 9 + 62 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27706 + ... + 106214.

It is an arithmetic number, because the mean of its divisors is an integer number (116822880).

Almost surely, 25256962640 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 5256962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9345830400).

5256962640 is an abundant number, since it is smaller than the sum of its proper divisors (13434698160).

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

5256962640 is a wasteful number, since it uses less digits than its factorization.

5256962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78562 (or 78550 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 5256962640 is about 72504.9145920468. The cubic root of 5256962640 is about 1738.7813107244.

The spelling of 5256962640 in words is "five billion, two hundred fifty-six million, nine hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 22320 33480 66960 78509 157018 235527 314036 392545 471054 628072 706581 785090 942108 1177635 1256144 1413162 1570180 1884216 2119743 2355270 2433779 2826324 3140360 3532905 3768432 4239486 4710540 4867558 5652648 6280720 7065810 7301337 8478972 9421080 9735116 10598715 11305296 12168895 14131620 14602674 16957944 18842160 19470232 21197430 21904011 24337790 28263240 29205348 33915888 36506685 38940464 42394860 43808022 48675580 56526480 58410696 65712033 73013370 84789720 87616044 97351160 109520055 116821392 131424066 146026740 169579440 175232088 194702320 219040110 262848132 292053480 328560165 350464176 438080220 525696264 584106960 657120330 876160440 1051392528 1314240660 1752320880 2628481320 5256962640