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1934975088 = 243317377121
BaseRepresentation
bin111001101010101…
…0110000001110000
311222211222220211000
41303111112001300
512430323200323
6520001122000
765644005534
oct16325260160
94884886730
101934975088
11903274472
12460029300
1324ab5b197
14144dadbc4
15b4d1ae43
hex73556070

1934975088 has 160 divisors (see below), whose sum is σ = 6040595520. Its totient is φ = 590561280.

The previous prime is 1934975057. The next prime is 1934975093. The reversal of 1934975088 is 8805794391.

1934975088 is a `hidden beast` number, since 1 + 93 + 49 + 7 + 508 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268168 + ... + 275288.

It is an arithmetic number, because the mean of its divisors is an integer number (37753722).

Almost surely, 21934975088 is an apocalyptic number.

1934975088 is a gapful number since it is divisible by the number (18) 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 1934975088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020297760).

1934975088 is an abundant number, since it is smaller than the sum of its proper divisors (4105620432).

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

1934975088 is a wasteful number, since it uses less digits than its factorization.

1934975088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 1934975088 is about 43988.3517308844. The cubic root of 1934975088 is about 1246.1159626766.

The spelling of 1934975088 in words is "one billion, nine hundred thirty-four million, nine hundred seventy-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 37 48 51 54 68 72 74 102 108 111 136 144 148 153 204 216 222 272 296 306 333 408 432 444 459 592 612 629 666 816 888 918 999 1224 1258 1332 1776 1836 1887 1998 2448 2516 2664 3672 3774 3996 5032 5328 5661 7121 7344 7548 7992 10064 11322 14242 15096 15984 16983 21363 22644 28484 30192 33966 42726 45288 56968 64089 67932 85452 90576 113936 121057 128178 135864 170904 192267 242114 256356 263477 271728 341808 363171 384534 484228 512712 526954 726342 769068 790431 968456 1025424 1053908 1089513 1452684 1538136 1580862 1936912 2107816 2179026 2371293 2905368 3076272 3161724 3268539 4215632 4358052 4479109 4742586 5810736 6323448 6537078 7113879 8716104 8958218 9485172 12646896 13074156 13437327 14227758 17432208 17916436 18970344 26148312 26874654 28455516 35832872 37940688 40311981 52296624 53749308 56911032 71665744 80623962 107498616 113822064 120935943 161247924 214997232 241871886 322495848 483743772 644991696 967487544 1934975088