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5538426240 = 273518115937
BaseRepresentation
bin1010010100001110…
…11010110110000000
3112021222112012111210
411022013122312000
542320314114430
62313323410120
7254150563164
oct51207326600
915258465453
105538426240
11239232a676
1210a6983940
136a35790b9
143a77baca4
152263602b0
hex14a1dad80

5538426240 has 128 divisors (see below), whose sum is σ = 17752381920. Its totient is φ = 1468661760.

The previous prime is 5538426233. The next prime is 5538426259. The reversal of 5538426240 is 426248355.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339552 + ... + 355488.

Almost surely, 25538426240 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 5538426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8876190960).

5538426240 is an abundant number, since it is smaller than the sum of its proper divisors (12213955680).

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

5538426240 is a wasteful number, since it uses less digits than its factorization.

5538426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16140 (or 16128 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 5538426240 is about 74420.6035987347. The cubic root of 5538426240 is about 1769.2754799074.

The spelling of 5538426240 in words is "five billion, five hundred thirty-eight million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 181 192 240 320 362 384 480 543 640 724 905 960 1086 1448 1810 1920 2172 2715 2896 3620 4344 5430 5792 7240 8688 10860 11584 14480 15937 17376 21720 23168 28960 31874 34752 43440 47811 57920 63748 69504 79685 86880 95622 115840 127496 159370 173760 191244 239055 254992 318740 347520 382488 478110 509984 637480 764976 956220 1019968 1274960 1529952 1912440 2039936 2549920 2884597 3059904 3824880 5099840 5769194 6119808 7649760 8653791 10199680 11538388 14422985 15299520 17307582 23076776 28845970 30599040 34615164 43268955 46153552 57691940 69230328 86537910 92307104 115383880 138460656 173075820 184614208 230767760 276921312 346151640 369228416 461535520 553842624 692303280 923071040 1107685248 1384606560 1846142080 2769213120 5538426240