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2279506896 = 2432131149811
BaseRepresentation
bin1000011111011110…
…1000001111010000
312212212021221121100
42013313220033100
514132023210041
61014105424400
7110326326462
oct20767501720
95785257540
102279506896
11a6a7a42a7
1253749b100
132a434b464
14178a56132
15d51c46b6
hex87de83d0

2279506896 has 120 divisors (see below), whose sum is σ = 6479272800. Its totient is φ = 748051200.

The previous prime is 2279506877. The next prime is 2279506903. The reversal of 2279506896 is 6986059722.

2279506896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2810331 + ... + 2811141.

It is an arithmetic number, because the mean of its divisors is an integer number (53993940).

Almost surely, 22279506896 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 2279506896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239636400).

2279506896 is an abundant number, since it is smaller than the sum of its proper divisors (4199765904).

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

2279506896 is a wasteful number, since it uses less digits than its factorization.

2279506896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2279506896 is about 47744.1818026029. The cubic root of 2279506896 is about 1316.0739819767.

The spelling of 2279506896 in words is "two billion, two hundred seventy-nine million, five hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 149 262 298 393 447 524 596 786 811 894 1048 1179 1192 1341 1572 1622 1788 2096 2358 2384 2433 2682 3144 3244 3576 4716 4866 5364 6288 6488 7152 7299 9432 9732 10728 12976 14598 18864 19464 19519 21456 29196 38928 39038 58392 58557 78076 106241 116784 117114 120839 156152 175671 212482 234228 241678 312304 318723 351342 362517 424964 468456 483356 637446 702684 725034 849928 936912 956169 966712 1087551 1274892 1405368 1450068 1699856 1912338 1933424 2175102 2549784 2810736 2900136 3824676 4350204 5099568 5800272 7649352 8700408 15298704 15829909 17400816 31659818 47489727 63319636 94979454 126639272 142469181 189958908 253278544 284938362 379917816 569876724 759835632 1139753448 2279506896