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1955552940 = 22325112934057
BaseRepresentation
bin111010010001111…
…0101111010101100
312001021201101022200
41310203311322230
513001110143230
6522014141500
766313632345
oct16443657254
95037641280
101955552940
11913949960
12466ab1890
132521b4623
14147a090cc
15b6a33160
hex748f5eac

1955552940 has 144 divisors (see below), whose sum is σ = 6694440480. Its totient is φ = 457712640.

The previous prime is 1955552939. The next prime is 1955552947. The reversal of 1955552940 is 492555591.

1955552940 is a `hidden beast` number, since 1 + 9 + 5 + 5 + 552 + 94 + 0 = 666.

It is a super-2 number, since 2×19555529402 = 7648374602285287200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1955552947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40392 + ... + 74448.

It is an arithmetic number, because the mean of its divisors is an integer number (46489170).

Almost surely, 21955552940 is an apocalyptic number.

1955552940 is a gapful number since it is divisible by the number (10) 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 1955552940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347220240).

1955552940 is an abundant number, since it is smaller than the sum of its proper divisors (4738887540).

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

1955552940 is a wasteful number, since it uses less digits than its factorization.

1955552940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34112 (or 34107 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The square root of 1955552940 is about 44221.6342981577. The cubic root of 1955552940 is about 1250.5177460549.

The spelling of 1955552940 in words is "one billion, nine hundred fifty-five million, five hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 34057 57420 68114 102171 136228 170285 204342 306513 340570 374627 408684 510855 613026 681140 749254 987653 1021710 1123881 1226052 1498508 1532565 1873135 1975306 2043420 2247762 2962959 3065130 3371643 3746270 3950612 4495524 4938265 5619405 5925918 6130260 6743286 7492540 8888877 9876530 10864183 11238810 11851836 13486572 14814795 16858215 17777754 19753060 21728366 22477620 29629590 32592549 33716430 35555508 43456732 44444385 54320915 59259180 65185098 67432860 88888770 97777647 108641830 130370196 162962745 177777540 195555294 217283660 325925490 391110588 488888235 651850980 977776470 1955552940