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2387952 = 2432723103
BaseRepresentation
bin1001000110111111110000
311111022122200
421012333300
51102403302
6123103200
726203650
oct11067760
94438580
102387952
111391116
12971b00
13657bb8
14462360
1532281c
hex246ff0

2387952 has 120 divisors (see below), whose sum is σ = 8047104. Its totient is φ = 646272.

The previous prime is 2387951. The next prime is 2387953. The reversal of 2387952 is 2597832.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2387951) and next prime (2387953).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 22 + 313 + 86 + 7 + 94 + 54 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2387951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23133 + ... + 23235.

22387952 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 2387952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023552).

2387952 is an abundant number, since it is smaller than the sum of its proper divisors (5659152).

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

2387952 is a wasteful number, since it uses less digits than its factorization.

2387952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2387952 is about 1545.2999708794. The cubic root of 2387952 is about 133.6621771850.

The spelling of 2387952 in words is "two million, three hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 103 112 126 138 144 161 168 184 206 207 252 276 309 322 336 368 412 414 483 504 552 618 644 721 824 828 927 966 1008 1104 1236 1288 1442 1449 1648 1656 1854 1932 2163 2369 2472 2576 2884 2898 3312 3708 3864 4326 4738 4944 5768 5796 6489 7107 7416 7728 8652 9476 11536 11592 12978 14214 14832 16583 17304 18952 21321 23184 25956 28428 33166 34608 37904 42642 49749 51912 56856 66332 85284 99498 103824 113712 132664 149247 170568 198996 265328 298494 341136 397992 596988 795984 1193976 2387952