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2097725432 = 2311472771831
BaseRepresentation
bin111110100001000…
…1011111111111000
312102012020111022112
41331002023333320
513244004203212
6544053311452
7102661241405
oct17502137770
95365214275
102097725432
11987125190
124a6635588
132757a276a
1415c8572ac
15c4268422
hex7d08bff8

2097725432 has 64 divisors (see below), whose sum is σ = 4400317440. Its totient is φ = 929347200.

The previous prime is 2097725431. The next prime is 2097725437. The reversal of 2097725432 is 2345277902.

It is a self number, because there is not a number n which added to its sum of digits gives 2097725432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097725431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144757 + ... + 1146587.

It is an arithmetic number, because the mean of its divisors is an integer number (68754960).

Almost surely, 22097725432 is an apocalyptic number.

2097725432 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 2097725432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200158720).

2097725432 is an abundant number, since it is smaller than the sum of its proper divisors (2302592008).

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

2097725432 is a wasteful number, since it uses less digits than its factorization.

2097725432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The square root of 2097725432 is about 45800.9326542593. The cubic root of 2097725432 is about 1280.1166544073.

The spelling of 2097725432 in words is "two billion, ninety-seven million, seven hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 277 376 517 554 1034 1108 1831 2068 2216 3047 3662 4136 6094 7324 12188 13019 14648 20141 24376 26038 40282 52076 80564 86057 104152 143209 161128 172114 286418 344228 507187 572836 688456 946627 1014374 1145672 1893254 2028748 3786508 4057496 5579057 7573016 11158114 22316228 23837789 44632456 47675578 95351156 190702312 262215679 524431358 1048862716 2097725432