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642097296 = 243231831733
BaseRepresentation
bin100110010001011…
…010000010010000
31122202012220220100
4212101122002100
52303334103141
6143414212400
721624510531
oct4621320220
91582186810
10642097296
112aa4a1225
1215b054100
13a3047c39
14613c4688
153b5860b6
hex2645a090

642097296 has 120 divisors (see below), whose sum is σ = 1878379776. Its totient is φ = 204514560.

The previous prime is 642097283. The next prime is 642097307. The reversal of 642097296 is 692790246.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369646 + ... + 371378.

Almost surely, 2642097296 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 642097296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939189888).

642097296 is an abundant number, since it is smaller than the sum of its proper divisors (1236282480).

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

642097296 is a wasteful number, since it uses less digits than its factorization.

642097296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 642097296 is about 25339.6388293125. The cubic root of 642097296 is about 862.7142011153.

The spelling of 642097296 in words is "six hundred forty-two million, ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 83 93 124 144 166 186 248 249 279 332 372 496 498 558 664 744 747 996 1116 1328 1488 1494 1733 1992 2232 2573 2988 3466 3984 4464 5146 5199 5976 6932 7719 10292 10398 11952 13864 15438 15597 20584 20796 23157 27728 30876 31194 41168 41592 46314 53723 61752 62388 83184 92628 107446 123504 124776 143839 161169 185256 214892 249552 287678 322338 370512 429784 431517 483507 575356 644676 859568 863034 967014 1150712 1289352 1294551 1726068 1934028 2301424 2578704 2589102 3452136 3868056 4459009 5178204 6904272 7736112 8918018 10356408 13377027 17836036 20712816 26754054 35672072 40131081 53508108 71344144 80262162 107016216 160524324 214032432 321048648 642097296