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8453248440 = 2335713774107
BaseRepresentation
bin1111101111101101…
…00101010110111000
3210211010021111212120
413313312211112320
5114303012422230
63514450241240
7416323266120
oct76766452670
923733244776
108453248440
11364870273a
12177ab86220
13a49409570
145a296dc80
153471cb310
hex1f7da55b8

8453248440 has 128 divisors (see below), whose sum is σ = 31212034560. Its totient is φ = 1783540224.

The previous prime is 8453248421. The next prime is 8453248459. The reversal of 8453248440 is 448423548.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8453248421) and next prime (8453248459).

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

It is a junction number, because it is equal to n+sod(n) for n = 8453248392 and 8453248401.

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, 376134 + ... + 397973.

It is an arithmetic number, because the mean of its divisors is an integer number (243844020).

Almost surely, 28453248440 is an apocalyptic number.

It is an amenable number.

8453248440 is an abundant number, since it is smaller than the sum of its proper divisors (22758786120).

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

8453248440 is a wasteful number, since it uses less digits than its factorization.

8453248440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774141 (or 774137 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The square root of 8453248440 is about 91941.5490406813. The cubic root of 8453248440 is about 2037.0790279866.

The spelling of 8453248440 in words is "eight billion, four hundred fifty-three million, two hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 774107 1548214 2322321 3096428 3870535 4644642 5418749 6192856 7741070 9289284 10063391 10837498 11611605 15482140 16256247 18578568 20126782 21674996 23223210 27093745 30190173 30964280 32512494 40253564 43349992 46446420 50316955 54187490 60380346 65024988 70443737 80507128 81281235 92892840 100633910 108374980 120760692 130049976 140887474 150950865 162562470 201267820 211331211 216749960 241521384 281774948 301901730 325124940 352218685 402535640 422662422 563549896 603803460 650249880 704437370 845324844 1056656055 1207606920 1408874740 1690649688 2113312110 2817749480 4226624220 8453248440