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2045312352 = 253223308773
BaseRepresentation
bin111100111101000…
…1111110101100000
312021112121122002100
41321322033311200
513142044443402
6534542050400
7101453603526
oct17172176540
95245548070
102045312352
1195a586496
12490b79a00
13267980bc5
141558d2316
15be86371c
hex79e8fd60

2045312352 has 72 divisors (see below), whose sum is σ = 6069261744. Its totient is φ = 652126464.

The previous prime is 2045312341. The next prime is 2045312359. The reversal of 2045312352 is 2532135402.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045312359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147763 + ... + 161010.

It is an arithmetic number, because the mean of its divisors is an integer number (84295302).

Almost surely, 22045312352 is an apocalyptic number.

It is an amenable number.

2045312352 is an abundant number, since it is smaller than the sum of its proper divisors (4023949392).

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

2045312352 is a wasteful number, since it uses less digits than its factorization.

2045312352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308812 (or 308801 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2045312352 is about 45225.1296515555. The cubic root of 2045312352 is about 1269.3650807778.

Adding to 2045312352 its reverse (2532135402), we get a palindrome (4577447754).

The spelling of 2045312352 in words is "two billion, forty-five million, three hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 308773 617546 926319 1235092 1852638 2470184 2778957 3705276 4940368 5557914 7101779 7410552 9880736 11115828 14203558 14821104 21305337 22231656 28407116 29642208 42610674 44463312 56814232 63916011 85221348 88926624 113628464 127832022 170442696 227256928 255664044 340885392 511328088 681770784 1022656176 2045312352