Search a number
-
+
731429088 = 253131573733
BaseRepresentation
bin101011100110001…
…011100011100000
31212222022110002020
4223212023203200
52444221212323
6200325021440
724061021215
oct5346134340
91788273066
10731429088
11345966555
12184b54880
13b86c49a0
146d1d9b0c
154432eae3
hex2b98b8e0

731429088 has 96 divisors (see below), whose sum is σ = 2081421216. Its totient is φ = 223561728.

The previous prime is 731429071. The next prime is 731429089. The reversal of 731429088 is 880924137.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (731429089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194070 + ... + 197802.

It is an arithmetic number, because the mean of its divisors is an integer number (21681471).

Almost surely, 2731429088 is an apocalyptic number.

731429088 is a gapful number since it is divisible by the number (78) 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 731429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040710608).

731429088 is an abundant number, since it is smaller than the sum of its proper divisors (1349992128).

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

731429088 is a wasteful number, since it uses less digits than its factorization.

731429088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 731429088 is about 27044.9457015539. The cubic root of 731429088 is about 900.9985164649.

The spelling of 731429088 in words is "seven hundred thirty-one million, four hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 157 208 312 314 416 471 624 628 942 1248 1256 1884 2041 2512 3733 3768 4082 5024 6123 7466 7536 8164 11199 12246 14932 15072 16328 22398 24492 29864 32656 44796 48529 48984 59728 65312 89592 97058 97968 119456 145587 179184 194116 195936 291174 358368 388232 582348 586081 776464 1164696 1172162 1552928 1758243 2329392 2344324 3516486 4658784 4688648 7032972 7619053 9377296 14065944 15238106 18754592 22857159 28131888 30476212 45714318 56263776 60952424 91428636 121904848 182857272 243809696 365714544 731429088