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2025348696 = 233275968111
BaseRepresentation
bin111100010111000…
…0101111001011000
312020011001101002200
41320232011321120
513121442124241
6532550130200
7101122115460
oct17056057130
95204041080
102025348696
1194a2904a8
12486350960
132637b11a7
14152db6ba0
15bcc1d4b6
hex78b85e58

2025348696 has 96 divisors (see below), whose sum is σ = 6375283200. Its totient is φ = 568854720.

The previous prime is 2025348691. The next prime is 2025348701. The reversal of 2025348696 is 6968435202.

2025348696 is a `hidden beast` number, since 20 + 2 + 534 + 8 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2025348691) and next prime (2025348701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025348691) 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, 4320 + ... + 63791.

It is an arithmetic number, because the mean of its divisors is an integer number (66409200).

Almost surely, 22025348696 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 2025348696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187641600).

2025348696 is an abundant number, since it is smaller than the sum of its proper divisors (4349934504).

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

2025348696 is a wasteful number, since it uses less digits than its factorization.

2025348696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68189 (or 68182 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2025348696 is about 45003.8742332257. The cubic root of 2025348696 is about 1265.2216114631.

The spelling of 2025348696 in words is "two billion, twenty-five million, three hundred forty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 708 826 1062 1239 1416 1652 2124 2478 3304 3717 4248 4956 7434 9912 14868 29736 68111 136222 204333 272444 408666 476777 544888 612999 817332 953554 1225998 1430331 1634664 1907108 2451996 2860662 3814216 4018549 4290993 4903992 5721324 8037098 8581986 11442648 12055647 16074196 17163972 24111294 28129843 32148392 34327944 36166941 48222588 56259686 72333882 84389529 96445176 112519372 144667764 168779058 225038744 253168587 289335528 337558116 506337174 675116232 1012674348 2025348696