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5007792 = 243172192
BaseRepresentation
bin10011000110100110110000
3100102102101210
4103012212300
52240222132
6255200120
760364656
oct23064660
910372353
105007792
112910479
121816040
1310644ba
14944dd6
1568dbcc
hex4c69b0

5007792 has 90 divisors (see below), whose sum is σ = 14503908. Its totient is φ = 1488384.

The previous prime is 5007791. The next prime is 5007797. The reversal of 5007792 is 2977005.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5007791) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 263559 + ... + 263577.

Almost surely, 25007792 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 5007792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251954).

5007792 is an abundant number, since it is smaller than the sum of its proper divisors (9496116).

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

5007792 is a wasteful number, since it uses less digits than its factorization.

5007792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 5007792 is about 2237.8096433790. The cubic root of 5007792 is about 171.0863761151.

The spelling of 5007792 in words is "five million, seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 289 304 323 361 408 456 578 646 722 816 867 912 969 1083 1156 1292 1444 1734 1938 2166 2312 2584 2888 3468 3876 4332 4624 5168 5491 5776 6137 6936 7752 8664 10982 12274 13872 15504 16473 17328 18411 21964 24548 32946 36822 43928 49096 65892 73644 87856 98192 104329 131784 147288 208658 263568 294576 312987 417316 625974 834632 1251948 1669264 2503896 5007792