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1352161152 = 27323731723
BaseRepresentation
bin101000010011000…
…0101011110000000
310111020022220101200
41100212011132000
510232123124102
6342101301200
745336115536
oct12046053600
93436286350
101352161152
11634294761
12318a04800
1318719bc74
14cb81c156
157da9551c
hex50985780

1352161152 has 96 divisors (see below), whose sum is σ = 3996272280. Its totient is φ = 438524928.

The previous prime is 1352161141. The next prime is 1352161157. The reversal of 1352161152 is 2511612531.

1352161152 is a `hidden beast` number, since 1 + 352 + 161 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352161157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26763 + ... + 58485.

Almost surely, 21352161152 is an apocalyptic number.

1352161152 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 1352161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998136140).

1352161152 is an abundant number, since it is smaller than the sum of its proper divisors (2644111128).

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

1352161152 is a wasteful number, since it uses less digits than its factorization.

1352161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31780 (or 31765 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 1352161152 is about 36771.7439347116. The cubic root of 1352161152 is about 1105.7988945761.

Adding to 1352161152 its reverse (2511612531), we get a palindrome (3863773683).

The spelling of 1352161152 in words is "one billion, three hundred fifty-two million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 10656 14208 21312 31723 42624 63446 95169 126892 190338 253784 285507 380676 507568 571014 761352 1015136 1142028 1173751 1522704 2030272 2284056 2347502 3045408 3521253 4060544 4568112 4695004 6090816 7042506 9136224 9390008 10563759 12181632 14085012 18272448 18780016 21127518 28170024 36544896 37560032 42255036 56340048 75120064 84510072 112680096 150240128 169020144 225360192 338040288 450720384 676080576 1352161152