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5642394100 = 2252721279067
BaseRepresentation
bin1010100000101000…
…00001100111110100
3112120020011022121021
411100110001213310
543023423102400
62331520030524
7256552362400
oct52024014764
915506138537
105642394100
112435a91222
121115762444
136bbc7b945
143b7522100
1523054a71a
hex1505019f4

5642394100 has 108 divisors (see below), whose sum is σ = 14356747776. Its totient is φ = 1919090880.

The previous prime is 5642394073. The next prime is 5642394101. The reversal of 5642394100 is 14932465.

It is a happy number.

It is a super-2 number, since 2×56423941002 = 63673222359429620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642394101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 617767 + ... + 626833.

Almost surely, 25642394100 is an apocalyptic number.

5642394100 is a gapful number since it is divisible by the number (50) 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 5642394100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178373888).

5642394100 is an abundant number, since it is smaller than the sum of its proper divisors (8714353676).

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

5642394100 is a wasteful number, since it uses less digits than its factorization.

5642394100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 5642394100 is about 75115.8711591632. The cubic root of 5642394100 is about 1780.2779202456.

The spelling of 5642394100 in words is "five billion, six hundred forty-two million, three hundred ninety-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 127 140 175 196 245 254 350 490 508 635 700 889 980 1225 1270 1778 2450 2540 3175 3556 4445 4900 6223 6350 8890 9067 12446 12700 17780 18134 22225 24892 31115 36268 44450 45335 62230 63469 88900 90670 124460 126938 155575 181340 226675 253876 311150 317345 444283 453350 622300 634690 888566 906700 1151509 1269380 1586725 1777132 2221415 2303018 3173450 4442830 4606036 5757545 6346900 8060563 8885660 11107075 11515090 16121126 22214150 23030180 28787725 32242252 40302815 44428300 56423941 57575450 80605630 112847882 115150900 161211260 201514075 225695764 282119705 403028150 564239410 806056300 1128478820 1410598525 2821197050 5642394100