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1075498272 = 25325476827
BaseRepresentation
bin100000000011010…
…1100110100100000
32202221201222021100
41000012230310200
54200311421042
6254415354400
735436404322
oct10006546440
92687658240
101075498272
115020aa852
12260222a00
13141a82514
14a2ba1612
156464624c
hex401acd20

1075498272 has 72 divisors (see below), whose sum is σ = 3064488336. Its totient is φ = 357791616.

The previous prime is 1075498243. The next prime is 1075498289. The reversal of 1075498272 is 2728945701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154123 + ... + 160949.

It is an arithmetic number, because the mean of its divisors is an integer number (42562338).

Almost surely, 21075498272 is an apocalyptic number.

1075498272 is a gapful number since it is divisible by the number (12) 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 1075498272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532244168).

1075498272 is an abundant number, since it is smaller than the sum of its proper divisors (1988990064).

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

1075498272 is a wasteful number, since it uses less digits than its factorization.

1075498272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7390 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1075498272 is about 32794.7903179758. The cubic root of 1075498272 is about 1024.5580555996.

The spelling of 1075498272 in words is "one billion, seventy-five million, four hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 547 1094 1641 2188 3282 4376 4923 6564 6827 8752 9846 13128 13654 17504 19692 20481 26256 27308 39384 40962 52512 54616 61443 78768 81924 109232 122886 157536 163848 218464 245772 327696 491544 655392 983088 1966176 3734369 7468738 11203107 14937476 22406214 29874952 33609321 44812428 59749904 67218642 89624856 119499808 134437284 179249712 268874568 358499424 537749136 1075498272