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3146058048 = 26378812657
BaseRepresentation
bin1011101110000101…
…0000100101000000
322010020212022022110
42323201100211000
522420342324143
61240102535320
7140651023620
oct27341204500
98106768273
103146058048
11137495aa81
12739737540
133b1a33113
1421bb86880
151362e5533
hexbb850940

3146058048 has 112 divisors (see below), whose sum is σ = 9527462784. Its totient is φ = 897515520.

The previous prime is 3146058031. The next prime is 3146058061. The reversal of 3146058048 is 8408506413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 3146057997 and 3146058015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182736 + ... + 1185392.

It is an arithmetic number, because the mean of its divisors is an integer number (85066632).

Almost surely, 23146058048 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 3146058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763731392).

3146058048 is an abundant number, since it is smaller than the sum of its proper divisors (6381404736).

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

3146058048 is a wasteful number, since it uses less digits than its factorization.

3146058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 3146058048 is about 56089.7321084706. The cubic root of 3146058048 is about 1465.2854725247.

The spelling of 3146058048 in words is "three billion, one hundred forty-six million, fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 881 1344 1762 2643 2657 3524 5286 5314 6167 7048 7971 10572 10628 12334 14096 15942 18501 18599 21144 21256 24668 28192 31884 37002 37198 42288 42512 49336 55797 56384 63768 74004 74396 84576 85024 98672 111594 127536 148008 148792 169152 170048 197344 223188 255072 296016 297584 394688 446376 510144 592032 595168 892752 1184064 1190336 1785504 2340817 3571008 4681634 7022451 9363268 14044902 16385719 18726536 28089804 32771438 37453072 49157157 56179608 65542876 74906144 98314314 112359216 131085752 149812288 196628628 224718432 262171504 393257256 449436864 524343008 786514512 1048686016 1573029024 3146058048