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5209281240 = 2335412713907
BaseRepresentation
bin1001101100111111…
…10101001011011000
3111110001011220110020
410312133311023120
541132033444430
62220524550440
7243043105602
oct46637651330
914401156406
105209281240
11223355a109
1210146b2420
13650315547
14375bbc172
152074e5b10
hex1367f52d8

5209281240 has 128 divisors (see below), whose sum is σ = 16072197120. Its totient is φ = 1349913600.

The previous prime is 5209281229. The next prime is 5209281263. The reversal of 5209281240 is 421829025.

It is a super-2 number, since 2×52092812402 = 54273222074831875200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331367 + ... + 1335273.

It is an arithmetic number, because the mean of its divisors is an integer number (125564040).

Almost surely, 25209281240 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 5209281240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8036098560).

5209281240 is an abundant number, since it is smaller than the sum of its proper divisors (10862915880).

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

5209281240 is a wasteful number, since it uses less digits than its factorization.

5209281240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 5209281240 is about 72175.3506399519. The cubic root of 5209281240 is about 1733.5083381816.

The spelling of 5209281240 in words is "five billion, two hundred nine million, two hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 271 328 410 492 542 615 813 820 984 1084 1230 1355 1626 1640 2168 2460 2710 3252 3907 4065 4920 5420 6504 7814 8130 10840 11111 11721 15628 16260 19535 22222 23442 31256 32520 33333 39070 44444 46884 55555 58605 66666 78140 88888 93768 111110 117210 133332 156280 160187 166665 222220 234420 266664 320374 333330 444440 468840 480561 640748 666660 800935 961122 1058797 1281496 1333320 1601870 1922244 2117594 2402805 3176391 3203740 3844488 4235188 4805610 5293985 6352782 6407480 8470376 9611220 10587970 12705564 15881955 19222440 21175940 25411128 31763910 42351880 43410677 63527820 86821354 127055640 130232031 173642708 217053385 260464062 347285416 434106770 520928124 651160155 868213540 1041856248 1302320310 1736427080 2604640620 5209281240