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1088017952 = 2576172
BaseRepresentation
bin100000011011001…
…1101011000100000
32210211022001001012
41000312131120200
54212013033302
6255544000052
735651000000
oct10066353040
92724261035
101088017952
11509180a9a
12264460028
13144546c08
14a4700000
15657baa52
hex40d9d620

1088017952 has 126 divisors (see below), whose sum is σ = 2654687637. Its totient is φ = 438864384.

The previous prime is 1088017927. The next prime is 1088017961. The reversal of 1088017952 is 2597108801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 995781136 + 92236816 = 31556^2 + 9604^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=23324.

1088017952 is a modest number, since divided by 17952 gives 1088 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 64001048 + ... + 64001064.

Almost surely, 21088017952 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 1088017952

1088017952 is an abundant number, since it is smaller than the sum of its proper divisors (1566669685).

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

1088017952 is an frugal number, since it uses more digits than its factorization.

1088017952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 41.

The square root of 1088017952 is about 32985.1171287901. The cubic root of 1088017952 is about 1028.5182930517.

The spelling of 1088017952 in words is "one billion, eighty-eight million, seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 289 343 392 476 544 578 686 784 833 952 1156 1372 1568 1666 1904 2023 2312 2401 2744 3332 3808 4046 4624 4802 5488 5831 6664 8092 9248 9604 10976 11662 13328 14161 16184 16807 19208 23324 26656 28322 32368 33614 38416 40817 46648 56644 64736 67228 76832 81634 93296 99127 113288 117649 134456 163268 186592 198254 226576 235298 268912 285719 326536 396508 453152 470596 537824 571438 653072 693889 793016 941192 1142876 1306144 1387778 1586032 1882384 2000033 2285752 2775556 3172064 3764768 4000066 4571504 4857223 5551112 8000132 9143008 9714446 11102224 16000264 19428892 22204448 32000528 34000561 38857784 64001056 68001122 77715568 136002244 155431136 272004488 544008976 1088017952