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2025346752 = 2632111367367
BaseRepresentation
bin111100010111000…
…0101011011000000
312020011001021102200
41320232011123000
513121442044002
6532550113200
7101122110012
oct17056053300
95204037380
102025346752
1194a289aa0
1248634b800
132637b0340
14152db61b2
15bcc1cb1c
hex78b856c0

2025346752 has 336 divisors, whose sum is σ = 6940856832. Its totient is φ = 556554240.

The previous prime is 2025346723. The next prime is 2025346753. The reversal of 2025346752 is 2576435202.

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

It is not an unprimeable number, because it can be changed into a prime (2025346753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5518473 + ... + 5518839.

It is an arithmetic number, because the mean of its divisors is an integer number (20657312).

Almost surely, 22025346752 is an apocalyptic number.

2025346752 is a gapful number since it is divisible by the number (22) 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 2025346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470428416).

2025346752 is an abundant number, since it is smaller than the sum of its proper divisors (4915510080).

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

2025346752 is a wasteful number, since it uses less digits than its factorization.

2025346752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2025346752 is about 45003.8526350800. The cubic root of 2025346752 is about 1265.2212066617.

The spelling of 2025346752 in words is "two billion, twenty-five million, three hundred forty-six thousand, seven hundred fifty-two".