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5308799440 = 245717737639
BaseRepresentation
bin1001111000110110…
…11101100111010000
3111200222102221202111
410330123131213100
541333023040230
62234441555104
7245362023250
oct47433354720
914628387674
105308799440
11228475165a
121041aa5a94
13667b1a959
143850c5960
1521110292a
hex13c6dd9d0

5308799440 has 160 divisors (see below), whose sum is σ = 15142602240. Its totient is φ = 1689403392.

The previous prime is 5308799417. The next prime is 5308799449. The reversal of 5308799440 is 449978035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5308799449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691141 + ... + 698779.

It is an arithmetic number, because the mean of its divisors is an integer number (94641264).

Almost surely, 25308799440 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 5308799440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571301120).

5308799440 is an abundant number, since it is smaller than the sum of its proper divisors (9833802800).

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

5308799440 is a wasteful number, since it uses less digits than its factorization.

5308799440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7749 (or 7743 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 5308799440 is about 72861.5086311010. The cubic root of 5308799440 is about 1744.4777697424.

The spelling of 5308799440 in words is "five billion, three hundred eight million, seven hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 73 80 85 112 119 136 140 146 170 238 272 280 292 340 365 476 511 560 584 595 680 730 952 1022 1168 1190 1241 1360 1460 1904 2044 2380 2482 2555 2920 4088 4760 4964 5110 5840 6205 7639 8176 8687 9520 9928 10220 12410 15278 17374 19856 20440 24820 30556 34748 38195 40880 43435 49640 53473 61112 69496 76390 86870 99280 106946 122224 129863 138992 152780 173740 213892 259726 267365 305560 347480 427784 519452 534730 557647 611120 649315 694960 855568 909041 1038904 1069460 1115294 1298630 1818082 2077808 2138920 2230588 2597260 2788235 3636164 3903529 4277840 4461176 4545205 5194520 5576470 7272328 7807058 8922352 9090410 9479999 10389040 11152940 14544656 15614116 18180820 18959998 19517645 22305880 31228232 36361640 37919996 39035290 44611760 47399995 62456464 66359993 72723280 75839992 78070580 94799990 132719986 151679984 156141160 189599980 265439972 312282320 331799965 379199960 530879944 663599930 758399920 1061759888 1327199860 2654399720 5308799440