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5625528720 = 2435711329633
BaseRepresentation
bin1010011110100111…
…01100000110010000
3112112001102110122120
411033103230012100
543010113404340
62330114334240
7256256130240
oct51723540620
915461373576
105625528720
112427511a99
12110bb8a380
136b8625226
143b51b1b20
1522dd184d0
hex14f4ec190

5625528720 has 160 divisors (see below), whose sum is σ = 20107498752. Its totient is φ = 1274413056.

The previous prime is 5625528719. The next prime is 5625528731. The reversal of 5625528720 is 278255265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 175024 + ... + 204656.

Almost surely, 25625528720 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 5625528720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053749376).

5625528720 is an abundant number, since it is smaller than the sum of its proper divisors (14481970032).

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

5625528720 is a wasteful number, since it uses less digits than its factorization.

5625528720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29769 (or 29763 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 5625528720 is about 75003.5247171758. The cubic root of 5625528720 is about 1778.5023719994.

The spelling of 5625528720 in words is "five billion, six hundred twenty-five million, five hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 113 120 140 168 210 226 240 280 336 339 420 452 560 565 678 791 840 904 1130 1356 1582 1680 1695 1808 2260 2373 2712 3164 3390 3955 4520 4746 5424 6328 6780 7910 9040 9492 11865 12656 13560 15820 18984 23730 27120 29633 31640 37968 47460 59266 63280 88899 94920 118532 148165 177798 189840 207431 237064 296330 355596 414862 444495 474128 592660 622293 711192 829724 888990 1037155 1185320 1244586 1422384 1659448 1777980 2074310 2370640 2489172 3111465 3318896 3348529 3555960 4148620 4978344 6222930 6697058 7111920 8297240 9956688 10045587 12445860 13394116 16594480 16742645 20091174 23439703 24891720 26788232 33485290 40182348 46879406 49783440 50227935 53576464 66970580 70319109 80364696 93758812 100455870 117198515 133941160 140638218 160729392 187517624 200911740 234397030 267882320 281276436 351595545 375035248 401823480 468794060 562552872 703191090 803646960 937588120 1125105744 1406382180 1875176240 2812764360 5625528720