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2023387392 = 28313414943
BaseRepresentation
bin111100010011010…
…0111000100000000
312020000100201200210
41320212213010000
513120441344032
6532440114120
7101066336415
oct17046470400
95200321623
102023387392
11949170994
12485765940
13263275560
14152a2610c
15bc9822cc
hex789a7100

2023387392 has 144 divisors (see below), whose sum is σ = 5942055168. Its totient is φ = 607272960.

The previous prime is 2023387367. The next prime is 2023387393. The reversal of 2023387392 is 2937833202.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2023387392.

It is not an unprimeable number, because it can be changed into a prime (2023387393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406873 + ... + 411815.

It is an arithmetic number, because the mean of its divisors is an integer number (41264272).

Almost surely, 22023387392 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 2023387392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971027584).

2023387392 is an abundant number, since it is smaller than the sum of its proper divisors (3918667776).

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

2023387392 is a wasteful number, since it uses less digits than its factorization.

2023387392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 2023387392 is about 44982.0785646906. The cubic root of 2023387392 is about 1264.8130751208.

The spelling of 2023387392 in words is "two billion, twenty-three million, three hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 256 312 328 384 416 492 533 624 656 768 832 984 1066 1248 1312 1599 1664 1968 2132 2496 2624 3198 3328 3936 4264 4943 4992 5248 6396 7872 8528 9886 9984 10496 12792 14829 15744 17056 19772 25584 29658 31488 34112 39544 51168 59316 64259 68224 79088 102336 118632 128518 136448 158176 192777 202663 204672 237264 257036 316352 385554 405326 409344 474528 514072 607989 632704 771108 810652 949056 1028144 1215978 1265408 1542216 1621304 1898112 2056288 2431956 2634619 3084432 3242608 3796224 4112576 4863912 5269238 6168864 6485216 7903857 8225152 9727824 10538476 12337728 12970432 15807714 16450304 19455648 21076952 24675456 25940864 31615428 38911296 42153904 49350912 51881728 63230856 77822592 84307808 126461712 155645184 168615616 252923424 337231232 505846848 674462464 1011693696 2023387392