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2007608316 = 2237831991447
BaseRepresentation
bin111011110101001…
…1010101111111100
312011220200001212120
41313222122233330
513102421431231
6531114002540
7100515250320
oct16752325774
95156601776
102007608316
1194027392a
12480416450
1325cc0c41c
141508b9980
15bb3b6d96
hex77a9abfc

2007608316 has 96 divisors (see below), whose sum is σ = 5449113600. Its totient is φ = 563454144.

The previous prime is 2007608311. The next prime is 2007608341. The reversal of 2007608316 is 6138067002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007608311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386705 + ... + 1388151.

It is an arithmetic number, because the mean of its divisors is an integer number (56761600).

Almost surely, 22007608316 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 2007608316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724556800).

2007608316 is an abundant number, since it is smaller than the sum of its proper divisors (3441505284).

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

2007608316 is a wasteful number, since it uses less digits than its factorization.

2007608316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2007608316 is about 44806.3423635538. The cubic root of 2007608316 is about 1261.5166745131.

The spelling of 2007608316 in words is "two billion, seven million, six hundred eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 199 249 332 398 498 581 597 796 996 1162 1194 1393 1447 1743 2324 2388 2786 2894 3486 4179 4341 5572 5788 6972 8358 8682 10129 16517 16716 17364 20258 30387 33034 40516 49551 60774 66068 99102 115619 120101 121548 198204 231238 240202 287953 346857 360303 462476 480404 575906 693714 720606 840707 863859 1151812 1387428 1441212 1681414 1727718 2015671 2522121 3362828 3455436 4031342 5044242 6047013 8062684 10088484 12094026 23900099 24188052 47800198 71700297 95600396 143400594 167300693 286801188 334601386 501902079 669202772 1003804158 2007608316