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2425231032 = 233727153269
BaseRepresentation
bin1001000010001110…
…0001011010111000
320021000111111112120
42100203201122320
514431324343112
61040353041240
7114046060260
oct22043413270
96230444476
102425231032
111034a85a74
12578256220
132c85b1063
1419014a7a0
15e2dabe8c
hex908e16b8

2425231032 has 64 divisors (see below), whose sum is σ = 6954931200. Its totient is φ = 690353280.

The previous prime is 2425231001. The next prime is 2425231063. The reversal of 2425231032 is 2301325242.

It is an interprime number because it is at equal distance from previous prime (2425231001) and next prime (2425231063).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2425230993 and 2425231011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18894 + ... + 72162.

It is an arithmetic number, because the mean of its divisors is an integer number (108670800).

Almost surely, 22425231032 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 2425231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477465600).

2425231032 is an abundant number, since it is smaller than the sum of its proper divisors (4529700168).

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

2425231032 is a wasteful number, since it uses less digits than its factorization.

2425231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53556 (or 53552 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2425231032 is about 49246.6347276644. The cubic root of 2425231032 is about 1343.5413551603.

Adding to 2425231032 its reverse (2301325242), we get a palindrome (4726556274).

The spelling of 2425231032 in words is "two billion, four hundred twenty-five million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 271 542 813 1084 1626 1897 2168 3252 3794 5691 6504 7588 11382 15176 22764 45528 53269 106538 159807 213076 319614 372883 426152 639228 745766 1118649 1278456 1491532 2237298 2983064 4474596 8949192 14435899 28871798 43307697 57743596 86615394 101051293 115487192 173230788 202102586 303153879 346461576 404205172 606307758 808410344 1212615516 2425231032