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8820412272 = 243375874969
BaseRepresentation
bin10000011011011110…
…01100111101110000
3211202201011100222000
420031233030331300
5121031011143042
64015124014000
7431402160450
oct101557147560
924681140860
108820412272
113816990321
121861b31300
13aa74c1c79
145d9627d60
1536955574c
hex20dbccf70

8820412272 has 160 divisors (see below), whose sum is σ = 28989811200. Its totient is φ = 2515318272.

The previous prime is 8820412253. The next prime is 8820412283. The reversal of 8820412272 is 2722140288.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1772604 + ... + 1777572.

It is an arithmetic number, because the mean of its divisors is an integer number (181186320).

Almost surely, 28820412272 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 8820412272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14494905600).

8820412272 is an abundant number, since it is smaller than the sum of its proper divisors (20169398928).

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

8820412272 is a wasteful number, since it uses less digits than its factorization.

8820412272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 8820412272 is about 93917.0499536692. The cubic root of 8820412272 is about 2066.1552999572.

The spelling of 8820412272 in words is "eight billion, eight hundred twenty million, four hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 587 756 1008 1174 1512 1761 2348 3024 3522 4109 4696 4969 5283 7044 8218 9392 9938 10566 12327 14088 14907 15849 16436 19876 21132 24654 28176 29814 31698 32872 34783 36981 39752 42264 44721 49308 59628 63396 65744 69566 73962 79504 84528 89442 98616 104349 110943 119256 126792 134163 139132 147924 178884 197232 208698 221886 238512 253584 268326 278264 295848 313047 357768 417396 443772 536652 556528 591696 626094 715536 834792 887544 939141 1073304 1252188 1669584 1775088 1878282 2146608 2504376 2916803 3756564 5008752 5833606 7513128 8750409 11667212 15026256 17500818 20417621 23334424 26251227 35001636 40835242 46668848 52502454 61252863 70003272 78753681 81670484 105004908 122505726 140006544 157507362 163340968 183758589 210009816 245011452 315014724 326681936 367517178 420019632 490022904 551275767 630029448 735034356 980045808 1102551534 1260058896 1470068712 2205103068 2940137424 4410206136 8820412272