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2906245608 = 2337174672179
BaseRepresentation
bin1010110100111001…
…1100100111101000
321111112121120111020
42231032130213220
521422444324413
61200214532440
7132006452160
oct25516344750
97445546436
102906245608
111261555382
12691367120
13374149776
141d7d9d5a0
15120224c23
hexad39c9e8

2906245608 has 128 divisors (see below), whose sum is σ = 8814873600. Its totient is φ = 779480064.

The previous prime is 2906245579. The next prime is 2906245633. The reversal of 2906245608 is 8065426092.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2906245608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332663 + ... + 1334841.

It is an arithmetic number, because the mean of its divisors is an integer number (68866200).

Almost surely, 22906245608 is an apocalyptic number.

2906245608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2906245608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407436800).

2906245608 is an abundant number, since it is smaller than the sum of its proper divisors (5908627992).

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

2906245608 is a wasteful number, since it uses less digits than its factorization.

2906245608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2906245608 is about 53909.6058972796. The cubic root of 2906245608 is about 1427.0661494724.

The spelling of 2906245608 in words is "two billion, nine hundred six million, two hundred forty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 467 476 714 934 952 1401 1428 1868 2179 2802 2856 3269 3736 4358 5604 6537 6538 7939 8716 9807 11208 13074 13076 15253 15878 17432 19614 23817 26148 26152 30506 31756 37043 39228 45759 47634 52296 55573 61012 63512 74086 78456 91518 95268 111129 111146 122024 148172 166719 183036 190536 222258 222292 259301 296344 333438 366072 444516 444584 518602 666876 777903 889032 1017593 1037204 1333752 1555806 2035186 2074408 3052779 3111612 4070372 6105558 6223224 7123151 8140744 12211116 14246302 17299081 21369453 24422232 28492604 34598162 42738906 51897243 56985208 69196324 85477812 103794486 121093567 138392648 170955624 207588972 242187134 363280701 415177944 484374268 726561402 968748536 1453122804 2906245608