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3960496050 = 235272569947
BaseRepresentation
bin1110110000010000…
…0101111110110010
3101020000101001012220
43230010011332302
531102341333200
61452555101510
7200100442500
oct35404057662
911200331186
103960496050
111752662335
12926441896
134b169c8b4
14297dcd670
15182a704a0
hexec105fb2

3960496050 has 144 divisors (see below), whose sum is σ = 11457793440. Its totient is φ = 902711040.

The previous prime is 3960496039. The next prime is 3960496091. The reversal of 3960496050 is 506940693.

3960496050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3960495993 and 3960496011.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4181677 + ... + 4182623.

It is an arithmetic number, because the mean of its divisors is an integer number (79568010).

Almost surely, 23960496050 is an apocalyptic number.

3960496050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960496050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728896720).

3960496050 is an abundant number, since it is smaller than the sum of its proper divisors (7497297390).

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

3960496050 is a wasteful number, since it uses less digits than its factorization.

3960496050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 3960496050 is about 62932.4721427659. The cubic root of 3960496050 is about 1582.1580362654.

The spelling of 3960496050 in words is "three billion, nine hundred sixty million, four hundred ninety-six thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 569 735 947 1050 1138 1225 1470 1707 1894 2450 2841 2845 3414 3675 3983 4735 5682 5690 6629 7350 7966 8535 9470 11949 13258 14205 14225 17070 19887 19915 23675 23898 27881 28410 28450 33145 39774 39830 42675 46403 47350 55762 59745 66290 71025 83643 85350 92806 99435 99575 119490 139209 139405 142050 165725 167286 198870 199150 232015 278418 278810 298725 331450 418215 464030 497175 538843 597450 696045 697025 836430 994350 1077686 1160075 1392090 1394050 1616529 2091075 2320150 2694215 3233058 3480225 3771901 4182150 5388430 6960450 7543802 8082645 11315703 13471075 16165290 18859505 22631406 26403307 26942150 37719010 40413225 52806614 56578515 79209921 80826450 94297525 113157030 132016535 158419842 188595050 264033070 282892575 396049605 565785150 660082675 792099210 1320165350 1980248025 3960496050